| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398545 |
| ISSN: | 0037-8712 |
| Authors: | Shuliang Huang1 |
| Institutions: | 1Chuzhou University, Department of Mathematics, Chuzhou, Anhui. China |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 1 |
| Pages: | 9-16 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Let R be a 2-torsion free σ-prime ring with an involution σ, I a nonzero σ-ideal of R. In this paper we explore the commutativity of R satisfying any one of the properties: (i) d(x) ◦ F(y) = 0 for all x, y ∈ I. (ii) [d(x), F(y)] = 0 for all x, y ∈ I. (iii) d(x) ◦ F(y) = x ◦ y for all x, y ∈ I. (iv) d(x)F(y) − xy ∈ Z(R) for all x, y ∈ I. We also discuss (α, β)-derivations of σ-prime rings and prove that if G is an (α, β)-derivation which acts as a homomorphism or as an anti-homomorphism on I, then G = 0 or G = β on I |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Algebra, Anillos, Anillos primos, Derivación, Conmutatividad |
| Keyword: | Mathematics, Pure mathematics, Algebra, Rings, Prime rings, Derivation, Commutativity |
| Full text: | Texto completo (Ver PDF) |
