| 环上的反同态 |
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| 引用本文： | 代国江,郭继东.环上的反同态[J].合肥学院学报(自然科学版),2011(4):16-18. |
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| 作者姓名： | 代国江 郭继东 |
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| 作者单位： | 伊犁师范学院数学与统计学院; |
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| 基金项目： | 新疆维吾尔自治区自然科学基金项目(2010211A38); 伊犁师范学院科研课题项目(2011YNYJS009)资助 |
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| 摘 要： | 介绍了环反同态的概念,提出并证明了与此相关的重要定理：反同态与同态一定条件下相互转化的关系定理,环的反同态基本定理,反同态下两个环的代数结构、性质之间的异同.旨为更深刻地研究环结构和性质做准备.
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| 关 键 词： | 环 反同态 同态 |
Anti-homomorphism of Rings |
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| DAI Guo-jiang,GUO Ji-dong.Anti-homomorphism of Rings[J].Journal of Hefei University :Natural Sciences,2011(4):16-18. |
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| Authors: | DAI Guo-jiang GUO Ji-dong |
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| Institution: | DAI Guo-jiang,GUO Ji-dong(School of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China) |
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| Abstract: | The concept of anti-homomorphism on rings is introduced.Properties and some important theorems which are related to this concept are given and proved.Anti-homomorphism can becomes homomorphism in certain conditions.Anti-homomorphism fundamental theorem is important.There are some relations between two algebraic structures of rings under the condition of anti-homomorphism.Thus we lay solid foundation of further research in rings' structure. |
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| Keywords: | ring anti-homomorphism homomorphism |
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