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dc.contributor.authorBaser, Muhittin
dc.contributor.authorHarmanci, Abdullah
dc.contributor.authorKwak, Tai Keun
dc.date.accessioned2019-12-16T09:40:04Z
dc.date.available2019-12-16T09:40:04Z
dc.date.issued2008
dc.identifier.issn1015-8634
dc.identifier.urihttps://doi.org/10.4134/BKMS.2008.45.2.285
dc.identifier.urihttp://hdl.handle.net/11655/19795
dc.description.abstractFor an endomorphism a of a ring R., the endomorphism a is called semicommutative if ab = 0 implies a Ha(b) = 0 for a is an element of R. A ring R is called alpha-semicommulative if there exists a semicommutative endomorphism a of R. In this paper, various results of semicommutative rings are extended to a-semicommutative rings. In addition, we introduce the notion of an alpha-skew power series Armendariz ring which is an extension of Armendariz property in a ring R by considering the polynomials in the skew power series ring R[[x; alpha]]. We show that a number of interesting properties of a ring R transfer to its the skew power series ring R[[X; alpha]] and vice-versa such as the Baer property and the p.p.-property, when R is a-skew power series Armendariz. Several known results relating to a-rigid rings can be obtained as corollaries of our results.
dc.language.isoen
dc.publisherKorean Mathematical Soc
dc.relation.isversionof10.4134/BKMS.2008.45.2.285
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematics
dc.titleGeneralized Semicommutative Rings And Their Extensions
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.relation.journalBulletin Of The Korean Mathematical Society
dc.contributor.departmentMatematik
dc.identifier.volume45
dc.identifier.issue2
dc.identifier.startpage285
dc.identifier.endpage297
dc.description.indexWoS
dc.description.indexScopus


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