On weak injectivity and weak projectivity

被引:0
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作者
Saleh, M [1 ]
Abdel-Mohsen, A [1 ]
机构
[1] Birzeit Univ, Dept Math, Birzeit, Israel
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a right R-module M, a module Q is an element of sigma [M] is said to be weakly injective in sigma [M] if for every finitely generated submodule N of the M-injective hull Q, N is contained in a submodule Y of Q ($) over cap such that Y similar or equal to Q. Weakly projective modules in sigma [M] are defined dually, Several characterizations of (weakly) semisimple modules are given in terms of tight and cotight modules in sigma [M].
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页码:196 / 206
页数:11
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