| Revista: | Boletim da Sociedade Paranaense de Matematica |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000398545 |
| ISSN: | 0037-8712 |
| Autores: | Shuliang Huang1 |
| Instituciones: | 1Chuzhou University, Department of Mathematics, Chuzhou, Anhui. China |
| Año: | 2011 |
| Volumen: | 29 |
| Número: | 1 |
| Paginación: | 9-16 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico |
| Resumen en inglés | 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 |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Algebra, Anillos, Anillos primos, Derivación, Conmutatividad |
| Keyword: | Mathematics, Pure mathematics, Algebra, Rings, Prime rings, Derivation, Commutativity |
| Texto completo: | Texto completo (Ver PDF) |
