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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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10.1002/syn.890060102

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1573-9376

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On generalization of ⊕cofinitely supplemented mod

Authors: B Nisanci A Pancar
Publish Date: 2010/09/25
Volume: 62, Issue: 2, Pages: 203-209
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Abstract

We study the properties of ⊕cofinitely radical supplemented modules or briefly cgs ⊕modules It is shown that a module with summand sum property SSP is cgs ⊕ if and only if M/w Loc⊕ M w Loc⊕ M is the sum of all wlocal direct summands of a module M does not contain any maximal submodule that every cofinite direct summand of a UCextending cgs ⊕module is cgs ⊕ and that for any ring R every free Rmodule is cgs ⊕ if and only if R is semiperfect


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