| On generalized extending modules |
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| 作者姓名： | ZENG Qing-yi |
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| 作者单位： | ZENG Qing-yi1，2 (1Department of Mathematics，Zhejiang University，Hangzhou 310027，China) (2Department of Mathematics，Shaoguan University，Shaoguan 512005，China) |
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| 基金项目： | Project (No. 102028) supported by the Natural Science Foundation of Zhejiang Province, China |
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| 摘 要： | A module M is called generalized extending if for any submodule N of M, there is a direct summand K of M such that N≤K and K/N is singular. Any extending module and any singular module are generalized extending. Any homomorphic image of a generalized extending module is generalized extending. Any direct sum of a singular (uniform) module and a semi-simple module is generalized extending. A ring R is a right Co-H-ring if and only if all right R modules are generalized extending modules.
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| 关 键 词： | 广义extending模 奇异模 子模 Co-H环 |
| 收稿时间： | 2006-09-08 |
| 修稿时间： | 2006-12-07 |
On generalized extending modules |
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| ZENG Qing-yi.On generalized extending modules[J].Journal of Zhejiang University Science,2007,8(6):939-945. |
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| Authors: | Zeng Qing-yi |
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| Institution: | (1) Department of Mathematics, Zhejiang University, Hangzhou, 310027, China;(2) Department of Mathematics, Shaoguan University, Shaoguan, 512005, China |
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| Abstract: | A module M is called generalized extending if for any submodule N of M, there is a direct summand K of M such that N≤K and K/N is singular. Any extending module and any singular module are generalized extending. Any homomorphic image of a generalized
extending module is generalized extending. Any direct sum of a singular (uniform) module and a semi-simple module is generalized
extending. A ring R is a right Co-H-ring if and only if all right R modules are generalized extending modules.
Project (No. 102028) supported by the Natural Science Foundation of Zhejiang Province, China |
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| Keywords: | Generalized extending modules Singular Co-H-rings |
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