| 中国剩余定理在交换环上的推广 |
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| 引用本文： | 潘桔,陆媛.中国剩余定理在交换环上的推广[J].沈阳大学学报,2014(5):418-420. |
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| 作者姓名： | 潘桔 陆媛 |
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| 作者单位： | 沈阳大学师范学院,辽宁沈阳110044 |
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| 基金项目： | 辽宁省教育厅一般项目（L2012427） |
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| 摘 要： | 通过对交换环相关理论的研究,给出了中国剩余定理在交换幺环、不一定含单位元的交换环和Dedekind整环上的几种推广形式,并得到了在交换环上同余方程组有解的充要条件.
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| 关 键 词： | 交换环 Dedekind整环 理想 Noether整环 同余方程 |
Generalization of Chinese Remainder Theorem in Commutative Ring |
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| Pan Ju,Lu Yuan.Generalization of Chinese Remainder Theorem in Commutative Ring[J].Journal of Shenyang University,2014(5):418-420. |
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| Authors: | Pan Ju Lu Yuan |
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| Institution: | (Normal School, Shenyang University, Shenyang 110044, China) |
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| Abstract: | According to the research of commutative ring, several generalizations of Chinese remainder theorem in commutative ring with identity, commutative ring not necessarily identity and Dedekind domain are given. And a sufficient and necessary condition for the solution to the congruence equations on commutative ring is got. |
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| Keywords: | commutative ring Dedekind domain ideal Noether domain congruence equation |
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