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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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DOI

10.1002/smll.201370028

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1573-9376

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Generalizations of ⊕ supplemented modules

Authors: B N Türkmen A Pancar
Publish Date: 2013/11/01
Volume: 65, Issue: 4, Pages: 612-622
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Abstract

We introduce ⊕ radical supplemented modules and strongly ⊕ radical supplemented modules briefly srs ⊕modules as proper generalizations of ⊕ supplemented modules We prove that 1 a semilocal ring R is left perfect if and only if every left Rmodule is an ⊕ radical supplemented module 2 a commutative ring R is an Artinian principal ideal ring if and only if every left Rmodule is an srs ⊕module 3 over a local Dedekind domain every ⊕ radical supplemented module is an srs ⊕module Moreover we completely determine the structure of these modules over local Dedekind domains

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  2. Localization of eigenvalues of polynomial matrices
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  19. On some qualitative properties of monotone linear extensions of dynamical systems
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