| 关于拟AP内射模的注记 |
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| 引用本文： | 赵玉娥,杜先能.关于拟AP内射模的注记[J].东北数学,2006,22(4):433-440. |
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| 作者姓名： | 赵玉娥 杜先能 |
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| 作者单位： | School of Mathematical Sciences of Qingdao University Qingdao，266071，School of Mathematics and Computational Science of Anhui University，Hefei，230039 |
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| 摘 要： | Let R be a ring.A right R-module M with S=End(MR)is called aquasi AP-injective module,if,for any s ∈ S,there exists a left ideal X_s of S such thatl_s(ker s)=SsX_s.Let M be a quasi AP-injective module which is a self-generator.We show that for such a module,if S is semiprime,then every maximal kernel of S isa direct summand of M.Furthermore,if ker(a_1)ker(a_2a_1)ker(a_3a_2a_1)satisfy the ascending conditions for any sequence a_1,a_2,a_3,...∈ S,then S is rightperfect.In this paper,we give a series of results which extend and generalize resultson AP-injective rings.
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| 关 键 词： | 拟AP-内射模 AP-内射环 扩展级数 自生成子 |
Some Notes on Quasi AP-injective Modules |
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| ZHAO Yu-e,DU Xian-neng.Some Notes on Quasi AP-injective Modules[J].Northeastern Mathematical Journal,2006,22(4):433-440. |
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| Authors: | ZHAO Yu-e DU Xian-neng |
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| Institution: | [1]School of Mathematical Sciences of Qingdao University, Qingdao, 266071 [2]School of Mathematics and Computational Science of Anhui University, Hefei, 230039 |
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| Abstract: | |
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| Keywords: | quasi AP-injective module AP-injective ring self-generator 1991 MR subject classification:16E50 |
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