ON A LIE RING OF GENERALIZED INNER DERIVATIONS
| dc.contributor.author | Aydin, Neset | |
| dc.contributor.author | Turkmen, Selin | |
| dc.date.accessioned | 2025-01-27T21:19:57Z | |
| dc.date.available | 2025-01-27T21:19:57Z | |
| dc.date.issued | 2017 | |
| dc.department | Çanakkale Onsekiz Mart Üniversitesi | |
| dc.description.abstract | In this paper, we define a set including of all f(a) with a is an element of R generalized derivations of R and is denoted by f(R). It is proved that (i) the mapping g : L (R) -> f(R) given by g (a) = f(-a) for all a is an element of R is a Lie epimorphism with kernel N-sigma,N-tau; (ii) if R is a semiprime ring and sigma is an epimorphism of R, the mapping h : f(R) -> I (R) given by h(f(a)) = i(sigma)(-a) is a Lie epimorphism with kernel 1 (f(R)); (iii) if f(R) is a prime Lie ring and A, B are Lie ideals of R, then [f(A), f(B)] = (0) implies that either f(A) = (0) or f(B) = (0). | |
| dc.description.sponsorship | TUBITAK (The Scientific and Technical Research Council of Turkey) [BIDEB 2211] | |
| dc.description.sponsorship | The second author thanks to TUBITAK (The Scientific and Technical Research Council of Turkey) for financial support of BIDEB 2211 National Research Fellowship. | |
| dc.identifier.doi | 10.4134/CKMS.c170019 | |
| dc.identifier.endpage | 833 | |
| dc.identifier.issn | 1225-1763 | |
| dc.identifier.issn | 2234-3024 | |
| dc.identifier.issue | 4 | |
| dc.identifier.scopus | 2-s2.0-85032276032 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 827 | |
| dc.identifier.uri | https://doi.org/10.4134/CKMS.c170019 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12428/28781 | |
| dc.identifier.volume | 32 | |
| dc.identifier.wos | WOS:000414043100004 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Korean Mathematical Soc | |
| dc.relation.ispartof | Communications of The Korean Mathematical Society | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WoS_20250125 | |
| dc.subject | semiprime ring | |
| dc.subject | semiprime Lie ring | |
| dc.subject | prime Lie ring | |
| dc.subject | generalized derivation | |
| dc.title | ON A LIE RING OF GENERALIZED INNER DERIVATIONS | |
| dc.type | Article |
