# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 14701: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0026`; number: 14701
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0026/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0026/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0026.json)

## Question 14702: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0027`; number: 14702
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0027/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0027/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0027.json)

## Question 14703: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0028`; number: 14703
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0028/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0028/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0028.json)

## Question 14704: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0029`; number: 14704
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0029/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0029/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0029.json)

## Question 14705: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0030`; number: 14705
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0030/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0030/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0030.json)

## Question 14706: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0031`; number: 14706
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0031/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0031/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0031.json)

## Question 14707: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0032`; number: 14707
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0032/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0032/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0032.json)

## Question 14708: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0033`; number: 14708
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0033/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0033/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0033.json)

## Question 14709: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0034`; number: 14709
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0034/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0034/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0034.json)

## Question 14710: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0035`; number: 14710
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0035/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0035/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0035.json)

## Question 14711: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0036`; number: 14711
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0036/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0036/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0036.json)

## Question 14712: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0037`; number: 14712
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0037/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0037/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0037.json)

## Question 14713: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0038`; number: 14713
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0038/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0038/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0038.json)

## Question 14714: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0039`; number: 14714
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0039/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0039/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0039.json)

## Question 14715: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0040`; number: 14715
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0040/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0040/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0040.json)

## Question 14716: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0041`; number: 14716
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0041/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0041/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0041.json)

## Question 14717: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0042`; number: 14717
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0042/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0042/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0042.json)

## Question 14718: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0043`; number: 14718
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0043/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0043/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0043.json)

## Question 14719: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0044`; number: 14719
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0044/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0044/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0044.json)

## Question 14720: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0045`; number: 14720
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0045/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0045/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0045.json)

## Question 14721: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0046`; number: 14721
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0046/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0046/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0046.json)

## Question 14722: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0047`; number: 14722
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0047/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0047/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0047.json)

## Question 14723: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0048`; number: 14723
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0048/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0048/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0048.json)

## Question 14724: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0049`; number: 14724
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0049/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0049/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0049.json)

## Question 14725: Add Polynomial Coefficients with the Parent Ring Table

- ID: `q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0050`; number: 14725
- Processing: second_context_reviewed
- MKO: [mko-polynomial-ring-over-finite-commutative-ring](/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)
- Family: [qf-mod29-poly-add](/en/explore/?family=qf-mod29-poly-add)
- Batch: [batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations](/en/explore/?batch=batch-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-foundations)
- [Derivation](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0050/) / [Markdown](/en/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0050/index.md) / [JSON](/data/question-derivations/questions/q-20261014-advance-20261029-r02-polynomial-ring-over-finite-commutative-ring-0050.json)