| 完全可约E—左模的结构 |
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| 引用本文： | 陈辉.完全可约E—左模的结构[J].哈尔滨师范大学自然科学学报,1998,14(4):33-36. |
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| 作者姓名： | 陈辉 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 本文对带算ＢＣＫ－代数的概念加以抽象化，引进ＢＥ－代数上模的概念，进而引进模同态，模同构等概念，讨论了ＢＥ－代数上模的一些基本性质，在此基础上，引进Ｅ－子模理想，直积，Ｅ－单模等概念，给出完全可约Ｅ－左模的结构定理。
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| 关 键 词： | E－左模 E－子模理想 BCK代数 完全可约 |
COMPLETE REDUCIBLE E-LEFT MODULAR STRUCTURE |
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| Chen Hui.COMPLETE REDUCIBLE E-LEFT MODULAR STRUCTURE[J].Natural Science Journal of Harbin Normal University,1998,14(4):33-36. |
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| Authors: | Chen Hui |
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| Institution: | Suihau Teachers College |
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| Abstract: | This paper abstracts the concept of operater BCK-Algebras and introduces the concepts of medules on BE-Algebras and of modular homomorphism, isomorphism and so on. It also discussed some important concepts of modules on BE-Algebras. In the basis of it, the concepts of the E-submodule idea, straight product, E-quasi-single module and so on are introduced. It obtained the structure theorem of complete reducible E-left module. |
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| Keywords: | E-left module E-submodule idea Straight product E-quasi single module Complete reducile |
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