A note on (?,?)-derivations in prime rings
| dc.contributor.author | Aydin, Neset | |
| dc.date.accessioned | 2025-01-27T21:23:39Z | |
| dc.date.available | 2025-01-27T21:23:39Z | |
| dc.date.issued | 2008 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | Let R be a 2-torsion free prime ring and let sigma, tau be automorphisms of R. For any x, y epsilon R, set [x, y](sigma,tau) = x sigma(y) - tau(y)x. Suppose that d is a (sigma, tau)-derivation defined on R. In the present paper it is shown that (i) if d is a nonzero (sigma, tau)-derivation andh is a nonzero derivation of R such that dh(R) (subset of) over dot C sigma,tau then R is commutative. (ii) if R satisfies [d(x), x](sigma,tau) epsilon C-sigma,C-tau, then either d = 0 or R is commutative. (iii) if I is a nonzero ideal of R such that d(xy) = d(yx) for all x, y epsilon I, then R is commutative. | |
| dc.identifier.endpage | 352 | |
| dc.identifier.issn | 0019-5588 | |
| dc.identifier.issn | 0975-7465 | |
| dc.identifier.issue | 4 | |
| dc.identifier.startpage | 347 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/29243 | |
| dc.identifier.volume | 39 | |
| dc.identifier.wos | WOS:000258934700005 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Springer India | |
| dc.relation.ispartof | Indian Journal of Pure & Applied Mathematics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WoS_20250125 | |
| dc.subject | prime rings | |
| dc.subject | (sigma, tau)-derivations | |
| dc.subject | ideals | |
| dc.subject | commutativity | |
| dc.title | A note on (?,?)-derivations in prime rings | |
| dc.type | Article |
