| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000394702 |
| ISSN: | 0037-8712 |
| Authors: | Ashraf, Mohammad1 Rehman, Nadeem ur1 Ali, Shakir1 Rahman Mozumder, Muzibur1 |
| Institutions: | 1Aligarh Muslim University, Department of Mathematics, Aligarh, Uttar Pradesh. India |
| Year: | 2010 |
| Volumen: | 28 |
| Number: | 2 |
| Pages: | 25-32 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Let R be a ring and F and G be generalized derivations of R with associated derivations d and g respectively. In the present paper, we shall investigate the commutativity of semiprime ring R admitting generalized derivations F and G satisfying any one of the properties: (i)F(x)x = xG(x), (ii) [F(x), d(y)] = [x, y], (iii) F([x, y]) = [d(x), F(y)], (iv) d(x)F(y) = xy, (v) F(x 2 ) = x 2 , (vi) [F(x), y] = [x, G(y)], (vii) F([x, y]) = [F(x), y] + [d(y), x] and (viii) F(x ◦ y) = F(x) ◦ y − d(y) ◦ x for all x, y in some appropriate subset of R |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Derivaciones generalizadas, Teoría de anillos, Ideales, Algebra, Anillos primos, Conmutatividad |
| Keyword: | Mathematics, Pure mathematics, Generalized derivations, Ring theory, Ideals, Algebra, Prime rings, Commutativity |
| Full text: | Texto completo (Ver PDF) |
