Some results on ?-ideal of ?-prime ring
| dc.contributor.author | Turkmen, Selin | |
| dc.contributor.author | Aydin, Neset | |
| dc.date.accessioned | 2025-01-27T21:21:32Z | |
| dc.date.available | 2025-01-27T21:21:32Z | |
| dc.date.issued | 2015 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | Let R be a sigma-prime ring with characteristic not 2, Z (R) be the center of R, I be a nonzero sigma-ideal of R, alpha, beta : R -> R be two automorphisms, d be a nonzero (alpha, beta)-derivation of R and h be a nonzero derivation of R : In the present paper, it is shown that (i) If d (I) subset of C-alpha,C-beta and beta commutes with sigma then R is commutative. (ii) Let alpha and beta commute with sigma. If a is an element of I boolean AND S-sigma (R) and [d(I), a](alpha,beta) subset of C-alpha,C-beta then a is an element of Z(R). (iii) Let alpha, beta and h commute with sigma. If dh (I) subset of C-alpha,C- beta and h(I) subset of I then R is commutative. | |
| dc.description.sponsorship | TUBITAK (The Scientific and Technical Research Council of Turkey) | |
| dc.description.sponsorship | The first author thanks to TUBITAK (The Scientific and Technical Research Council of Turkey) for financial support of BIDEB 2211 National Research Fellowship. | |
| dc.identifier.endpage | 1156 | |
| dc.identifier.issn | 1303-5010 | |
| dc.identifier.issue | 5 | |
| dc.identifier.scopus | 2-s2.0-84961637929 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1147 | |
| dc.identifier.trdizinid | 483004 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/483004 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/28983 | |
| dc.identifier.volume | 44 | |
| dc.identifier.wos | WOS:000368502000014 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hacettepe Univ, Fac Sci | |
| dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WoS_20250125 | |
| dc.subject | sigma-prime ring | |
| dc.subject | sigma-ideal | |
| dc.subject | (alpha, beta)-derivation | |
| dc.title | Some results on ?-ideal of ?-prime ring | |
| dc.type | Article |
