CHARACTERIZATION OF MODULES AND RINGS BY THE SUMMAND INTERSECTION PROPERTY AND THE SUMMAND SUM PROPERTY

被引：0
|
作者：
Hamdouni, A. [1 ]
Ozcan, A. C. [2 ]
Harmanci, A. [2 ]
机构：
[1] Fac Sci, Dept Mathemat, Monastir 5000, Turkey
[2] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2005年 / 5卷 / 03期
关键词：
semisimple module; injective module; projective module; injective hull; SIP modules; SSP modules; prime module; divisible module; torsion free module; (semi) hereditary ring; semisimple ring; V-ring; finitely cogenerated module; finitely copresented module;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
R will be a ring with identity and modules M will be unital right R-modules. In this paper, properties of modules having the summand intersection property (SIP) and the summand sum property (SSP) are studied. We study the direct sum of modules, the SIP and the SSP. We add some results concerning characterization of some rings by means of modules having the SIP or the SSP.
引用
收藏
页码：469 / 490
页数：22
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