dc.contributor.author | Baser, Muhittin | |
dc.contributor.author | Harmanci, Abdullah | |
dc.contributor.author | Kwak, Tai Keun | |
dc.date.accessioned | 2019-12-16T09:40:04Z | |
dc.date.available | 2019-12-16T09:40:04Z | |
dc.date.issued | 2008 | |
dc.identifier.issn | 1015-8634 | |
dc.identifier.uri | https://doi.org/10.4134/BKMS.2008.45.2.285 | |
dc.identifier.uri | http://hdl.handle.net/11655/19795 | |
dc.description.abstract | For 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.iso | en | |
dc.publisher | Korean Mathematical Soc | |
dc.relation.isversionof | 10.4134/BKMS.2008.45.2.285 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.subject | Mathematics | |
dc.title | Generalized Semicommutative Rings And Their Extensions | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |
dc.relation.journal | Bulletin Of The Korean Mathematical Society | |
dc.contributor.department | Matematik | |
dc.identifier.volume | 45 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 285 | |
dc.identifier.endpage | 297 | |
dc.description.index | WoS | |
dc.description.index | Scopus | |