| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000365955 |
| ISSN: | 0037-8712 |
| Authors: | Khan, M. Rais1 Arora, Depa1 Khan, M. Ali1 |
| Institutions: | 1Jamia Millia Islamia, Department of Mathematics, Nueva Delhi, Delhi. India |
| Year: | 2013 |
| Volumen: | 31 |
| Number: | 2 |
| Pages: | 113-119 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Experimental |
| English abstract | Let R be a -prime 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 R admitting generalized derivations F and G satisfying any one of the properties: (i) F(x)y+F(y)x = xG(y)+yG(x), (ii) F(x2) = x2, (iii) [F(x), y] = [x,G(y)], (iv) d(x)F(y) = xy, (v)F([x, y]) = [F(x), y] + [d(y), x] and (vi) F(x ◦ y) = F(x) ◦ y − d(y) ◦ x for all x, y in some appropriate subset of R |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Derivación |
| Keyword: | Mathematics, Pure mathematics, Derivation |
| Full text: | Texto completo (Ver PDF) |
