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Quasi regular modules and trivial extension

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dc.contributor.authorKOÇ, SUAT
dc.contributor.authorsJayaram, Chillumuntala; Tekir, Unsal; Koc, Suat
dc.date.accessioned2022-03-14T09:55:14Z
dc.date.available2022-03-14T09:55:14Z
dc.date.issued2020-12-31
dc.description.abstractRecall that a ring R is said to be a quasi regular ring if its total quotient ring q(R) is von Neumann regular. It is well known that a ring R is quasi regular if and only if it is a reduced ring satisfying the property: for each a is an element of R, ann(R)(ann (R) (a)) = ann(R)(b) for some b is an element of R. Here, in this study, we extend the notion of quasi regular rings and rings which satisfy the aforementioned property to modules. We give many characterizations and properties of these two classes of modules. Moreover, we investigate the (weak) quasi regular property of trivial extension.
dc.identifier.doi10.15672/hujms.613404
dc.identifier.eissn2651-477X
dc.identifier.urihttps://hdl.handle.net/11424/243654
dc.identifier.wosWOS:000640068900011
dc.language.isoeng
dc.publisherHACETTEPE UNIV, FAC SCI
dc.relation.ispartofHACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectvon Neumann regular ring
dc.subjectquasi regular ring
dc.subjectvon Neumann regular module
dc.subjectquasi regular module
dc.subjecttrivial extension
dc.titleQuasi regular modules and trivial extension
dc.typearticle
dspace.entity.typePublication
local.avesis.idcc9bd0ab-56eb-4e10-9a19-89a402d54e62
local.import.packageSS16
local.indexed.atWOS
local.indexed.atSCOPUS
local.indexed.atTRDIZIN
local.journal.numberofpages15
oaire.citation.endPage134
oaire.citation.issue1
oaire.citation.startPage120
oaire.citation.titleHACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
oaire.citation.volume50
relation.isAuthorOfPublication57dc5867-a06e-42d4-b8f0-787ff572cabe
relation.isAuthorOfPublication.latestForDiscovery57dc5867-a06e-42d4-b8f0-787ff572cabe

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