有限拟内射模

J4 ›› 2010, Vol. 45 ›› Issue (10): 20-23.

有限拟内射模

朱占敏

嘉兴学院数学系, 浙江嘉兴 314001

收稿日期:2009-03-10 出版日期:2010-10-16 发布日期:2010-10-19

Finitely quasi-injective modules

ZHU Zhan-min

Department of Mathematics, Jiaxing University, Jiaxing 314001, Zhejiang, China

Received:2009-03-10 Online:2010-10-16 Published:2010-10-19
About author:ZHU Zhan-min (1964-), male, master, professor,his research mainly focuses on rings and modules.

摘要/Abstract

摘要：

设R为一个环, 称一个右R-模M是有限拟内射的, 如果M的每一有限生成子模到M的同态都可扩张为M的自同态。给出了有限拟内射模的一些特征和性质,并研究了一些有限生成的有限拟内射模。

关键词: 有限拟内射模; PQ-内射模; 自同态环;零化子

Abstract:

Let R be a ring. A right R-module M is called finitely quasi-injective if each R-homomorphism from a finitely generated submodule of M to M can be extended to an endomorphism of M. Some characterizations and properties of finitely quasi-injective modules are given, and some finitely generated finitely quasi-injective modules are investigated.

Key words: finitely quasi-injective modules; PQ-injective modules; endomorphism rings; annihilators

朱占敏. 有限拟内射模[J]. J4, 2010, 45(10): 20-23.

ZHU Zhan-min. Finitely quasi-injective modules[J]. J4, 2010, 45(10): 20-23.

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