Rings which are duo on Zhou radical
buir.contributor.author | Kurtulmaz, Yosum | |
buir.contributor.orcid | Kurtulmaz, Yosum|0000-0001-6089-4366 | |
dc.citation.epage | 892 | en_US |
dc.citation.issueNumber | 2 | en_US |
dc.citation.spage | 871 | en_US |
dc.citation.volumeNumber | 16 | en_US |
dc.contributor.author | Ungor, B. | |
dc.contributor.author | Harmanci, A. | |
dc.contributor.author | Kurtulmaz, Yosum | |
dc.date.accessioned | 2023-02-13T08:49:11Z | |
dc.date.available | 2023-02-13T08:49:11Z | |
dc.date.issued | 2022-09-02 | |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | In ring theory, duoness and Zhou radical which is known as delta ideal have important roles. In this paper, we consider both concepts together by studying duoness on Zhou radical. By means of this study, we obtain a new kind of generalizations of commutativity. Firstly, we determine Zhou radical of some rings, then Zhou radical is applied to the duo property of rings, so we introduce a notion of right (left) dZr rings. We show that this notion is not left-right symmetric. We investigate some relations between right dZr rings and certain rings, and also deal with some ring extensions in terms of dZr property. | en_US |
dc.description.provenance | Submitted by Bilge Kat (bilgekat@bilkent.edu.tr) on 2023-02-13T08:49:10Z No. of bitstreams: 1 Rings_which_are_duo_on_Zhou_radical.pdf: 2104346 bytes, checksum: 9937daf2fecf65ab6c74aec2636ff46e (MD5) | en |
dc.description.provenance | Made available in DSpace on 2023-02-13T08:49:11Z (GMT). No. of bitstreams: 1 Rings_which_are_duo_on_Zhou_radical.pdf: 2104346 bytes, checksum: 9937daf2fecf65ab6c74aec2636ff46e (MD5) Previous issue date: 2022-09-02 | en |
dc.identifier.doi | 10.1007/s40863-022-00323-x | en_US |
dc.identifier.eissn | 2316-9028 | |
dc.identifier.issn | 1982-6907 | |
dc.identifier.uri | http://hdl.handle.net/11693/111207 | |
dc.language.iso | English | en_US |
dc.publisher | Springer | en_US |
dc.relation.isversionof | https://doi.org/10.1007/s40863-022-00323-x | en_US |
dc.source.title | São Paulo Journal of Mathematical Sciences | en_US |
dc.subject | Delta ideal | en_US |
dc.subject | Duo ring | en_US |
dc.subject | DZr ring | en_US |
dc.title | Rings which are duo on Zhou radical | en_US |
dc.type | Article | en_US |
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