Symmetric modules over their endomorphism rings

dc.citation.epage294en_US
dc.citation.issueNumber2en_US
dc.citation.spage283en_US
dc.citation.volumeNumber19en_US
dc.contributor.authorUngor, B.en_US
dc.contributor.authorKurtulmaz, Y.en_US
dc.contributor.authorHalicioglu, S.en_US
dc.contributor.authorHarmanci, A.en_US
dc.date.accessioned2016-02-08T10:28:07Z
dc.date.available2016-02-08T10:28:07Z
dc.date.issued2015en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractLet R be an arbitrary ring with identity and M a right R-module with S = End<inf>R</inf>(M). In this paper, we study right R-modules M having the property for f, g ∈ End<inf>R</inf>(M) and for m ∈ M, the condition fgm = 0 implies gfm = 0. We prove that some results of symmetric rings can be extended to symmetric modules for this general setting. © Journal “Algebra and Discrete Mathematics”.en_US
dc.identifier.issn1726-3255
dc.identifier.urihttp://hdl.handle.net/11693/24358
dc.language.isoEnglishen_US
dc.publisherLugansk Taras Shevchenko National Universityen_US
dc.source.titleAlgebra and Discrete Mathematicsen_US
dc.subjectAbelian modulesen_US
dc.subjectPrincipally projective modulesen_US
dc.subjectReduced modulesen_US
dc.subjectRickart modulesen_US
dc.subjectRigid modulesen_US
dc.subjectSemicommutative modulesen_US
dc.subjectSymmetric modulesen_US
dc.subject13C99en_US
dc.subject16D80en_US
dc.titleSymmetric modules over their endomorphism ringsen_US
dc.typeArticleen_US

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