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When Finitely Generated δ-Supplemented Modules Are Supplemented

When Finitely Generated δ-Supplemented Modules Are Supplemented
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摘要 We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented. We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.
作者 Rachid Tribak
出处 《Algebra Colloquium》 SCIE CSCD 2015年第1期119-130,共12页 代数集刊(英文版)
关键词 right △-ring (δ-)small submodule (δ-)supplemented module ⊙-(δ-)supple-mented module (δ-)local module right △-ring, (δ-)small submodule, (δ-)supplemented module, ⊙-(δ-)supple-mented module, (δ-)local module
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