{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"mko":"mko-finite-quotient-ring","page":"3"},"total":100,"page":3,"page_count":4,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0051","number":15951,"title":{"zh-Hant":"第 15951 題：有限商環","en":"Question 15951: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"f3ee16267a1867b7d3e55a3448fa0f33feb2f337ed8370249cf33757f1225edc","derivation_sha256":"dd184f7c48d7cd297e1d16910624a9d4335bd5637a8990173848a2eed0815f2c"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0052","number":15952,"title":{"zh-Hant":"第 15952 題：有限商環","en":"Question 15952: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"59c9e7039ff3d0113c802db72c3018c539f58276f0ba0b0a103626102ccb7d4e","derivation_sha256":"b4e42df44bd2847506ce6b4ba293a0ed6027824cbd2702e01274b459d4250fa3"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0053","number":15953,"title":{"zh-Hant":"第 15953 題：有限商環","en":"Question 15953: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2ff7d3535628a52803a2219580771867498378b37b1cc8bbad03e0264b5ddb85","derivation_sha256":"aab5c607ea5dc437cacb88c43c87c6f4f242266c85cab5e3c43571b791372175"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0054","number":15954,"title":{"zh-Hant":"第 15954 題：有限商環","en":"Question 15954: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a02554c3c9809f2a7065812b0c48ebabeb5626ef978e3e603187b4307782bc29","derivation_sha256":"0ef3ce1356b461b39254222a27f3b5317ca848f0f58ef37c53014d0a742e4b07"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0055","number":15955,"title":{"zh-Hant":"第 15955 題：有限商環","en":"Question 15955: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"54de43db074af30abd72930e2d460186f66e9cbda36384565f5fb9d973028b16","derivation_sha256":"20ea0f2fa80eb4d0b10affc21d09c8cf4bfcca17b8a851667b47e16793ab8a27"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0056","number":15956,"title":{"zh-Hant":"第 15956 題：有限商環","en":"Question 15956: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"93ab49f0147557206fc9b4afcbe456db0d9fab71ce6b43da31d3bb6919775589","derivation_sha256":"902637b9e34caa5a83ecb8250c86876498c7fdd441f8bb9c267e21f0f5d70f90"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0057","number":15957,"title":{"zh-Hant":"第 15957 題：有限商環","en":"Question 15957: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0de441d328896bfc486b4296b2b7afaf10b7b967e027750506828581342186d2","derivation_sha256":"17675b9e3c27bac14e0df99ece39fae3b4c41ae85d3fc29ae7a18a3273851893"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0058","number":15958,"title":{"zh-Hant":"第 15958 題：有限商環","en":"Question 15958: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"65bef0c0b5b46d578b364f29896955d53b361b44bb6788b1ba6695e608ad064d","derivation_sha256":"da7a174bfa8acca906d67235ae42760d523d56a7c05038dd3e643c2c1285dfa4"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0059","number":15959,"title":{"zh-Hant":"第 15959 題：有限商環","en":"Question 15959: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a0c91bb7529733f9198e99f3e0d547a0c31d6fe819e5e811f9eb6d40ec78b2a7","derivation_sha256":"c6247f7b70a1fb9a5f0e9a32db3ca3aa665c1cc16db95dbe015ac205f6c6e773"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0060","number":15960,"title":{"zh-Hant":"第 15960 題：有限商環","en":"Question 15960: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d4f6bd8b659423a8207ac0b8d2153a3aa55bfca5fc164e21fe48d516a198c191","derivation_sha256":"4b9cd85de6b8ca4cb3816879c26ec67c0fff5aa643f89c9cdc60d0a11135e1f5"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0061","number":15961,"title":{"zh-Hant":"第 15961 題：有限商環","en":"Question 15961: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0339d1550923811cc2bc5fa94737399c37877bece50b1366c6ce0bed375e0479","derivation_sha256":"2b9bdd40dd17f6e23bcc1d93a60013890465ee6671f5d7672003cc5d517710d8"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0062","number":15962,"title":{"zh-Hant":"第 15962 題：有限商環","en":"Question 15962: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"245d0276cb3437f57d994ca4a3b0107d1acb601cb9016c10dd132fdeb8935438","derivation_sha256":"dc149d88a05eca6cdea3f9b35ad80bca516b415ec3e7215c9be2d9a8bc828d14"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0063","number":15963,"title":{"zh-Hant":"第 15963 題：有限商環","en":"Question 15963: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6d340cd64fc0ffa969046b65fb0630005a0b12800f12063e6cca3506f0c825e8","derivation_sha256":"6af6deb823593d48215df48fed1ee38055a6f187fd62d3f63043cea8f5ec8867"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0064","number":15964,"title":{"zh-Hant":"第 15964 題：有限商環","en":"Question 15964: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e767de2bf1985f9a9b44bb39c1506a9036a006db01bb03c7980e60bdc3c3cb5b","derivation_sha256":"168ecee991c3d2a19340d04a7eb645268289cc39095917d558e790f5994d5ace"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0065","number":15965,"title":{"zh-Hant":"第 15965 題：有限商環","en":"Question 15965: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"4031312fdaf1aba459155cae811e87ddfdff3cf7144f349c015cd9131afa11c3","derivation_sha256":"5a129ba388cbc5d52699ca98a6084ffaadf809f9f8fd044ab377580178c0ae89"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0066","number":15966,"title":{"zh-Hant":"第 15966 題：有限商環","en":"Question 15966: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"470cd2a38f16f8de5e0a6107f86a27c2c7c9b664b38cf8d26eb75f46dcd2dc3c","derivation_sha256":"12cd1898eeb5f743bf1c6ad81b5439f0b5eaf98d7da61aa6b25b7caa39171ea3"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0067","number":15967,"title":{"zh-Hant":"第 15967 題：有限商環","en":"Question 15967: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2706a03e1e39333cecf9214b174fb924fc1ac35ad450dbc043f7d133c20e96b0","derivation_sha256":"c77620214ce415505d0ec2ee631dbad0debb46deaee6f6bd7305f14ff8b4fb62"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0068","number":15968,"title":{"zh-Hant":"第 15968 題：有限商環","en":"Question 15968: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"17e15f3059cb4b8e5278f68ed1d855fe1e3e7c82c681b4d23b07844082fde7cb","derivation_sha256":"39f59b3b785d952efccc3e4e45eb561b1a68bafa4aa0b463a4862302254fcf4d"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0069","number":15969,"title":{"zh-Hant":"第 15969 題：有限商環","en":"Question 15969: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"0494c786b568b64e34fd40468390f6ef81b4fef7fec7663553dcda5ed80cd217","derivation_sha256":"728f9e149f68f722912e9cdcf768f1352e8e198f8488eaa7e25c3e5f01757f33"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0070","number":15970,"title":{"zh-Hant":"第 15970 題：有限商環","en":"Question 15970: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e684506a9b4733b2fc66f77f451eab8d382974e2fc14d96e49edf1ded500e478","derivation_sha256":"7ebfd0d5b8deb8dfd099a4fbe43b948de282eabb7bbeea03a657b74c59ddf6a6"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0071","number":15971,"title":{"zh-Hant":"第 15971 題：有限商環","en":"Question 15971: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"897f8bcf2c1c565647141c24b2e6dc0fbc1316416f55fbc78afa167a70c914c2","derivation_sha256":"0d981665ec18022b1c78acc575a0371fe0c6c3d49aa5a57990e98a271a896d3e"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0072","number":15972,"title":{"zh-Hant":"第 15972 題：有限商環","en":"Question 15972: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"c0a8ca54660f8edef898b702ff004481db13b26b42325293c99350d9160fc713","derivation_sha256":"078b1fe67a2854e124feae586ecf7ccb2f91e64badbaa438e68f4abced9bb851"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0073","number":15973,"title":{"zh-Hant":"第 15973 題：有限商環","en":"Question 15973: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e45cf0506eb7a53fe6b72d12c3e424d49e31f391f7cb4b73dcdcdb9e030b2f8a","derivation_sha256":"f33a5c70b7b898865c21ca2f6e723f25892ea894ff5bc249203008a4b7c2d13e"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0074","number":15974,"title":{"zh-Hant":"第 15974 題：有限商環","en":"Question 15974: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"86653286929c4c6747146c2bb8db34dea1b2d40531525008f7665c064bca0c56","derivation_sha256":"56a40f5d42fd439d30e6e7789ed5e0c7e8be7b0665fa8044e328f79676daab7b"},{"question_id":"q-20261014-advance-20261031-r04-finite-quotient-ring-0075","number":15975,"title":{"zh-Hant":"第 15975 題：有限商環","en":"Question 15975: Quotient Multiplication Must Respect the Same Ideal"},"family_id":"qf-mod31-quotring-multiply","batch_id":"batch-20261014-advance-20261031-r04-finite-quotient-ring-foundations","mko_ids":["mko-finite-quotient-ring"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"969ecc9332e47dcb60a94a534130499f141f345b1c5e9df8e08ed7e6e023281c","derivation_sha256":"7c80cde9ed1a6b70c629b0bc1a6b96338c0dbdef9b408b98103c90a561adca2c"}]}