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Some generalizations in certain classes of rings with involution
- Source :
- Boletim da Sociedade Paranaense de Matemática, Vol 29, Iss 1, Pp 9-16 (2011)
- Publication Year :
- 2011
- Publisher :
- Sociedade Brasileira de Matemática, 2011.
-
Abstract
- Let R be a 2-torsion free sigma-prime ring with an involution sigma, I a nonzero sigma-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 (alpha,beta)-derivations of sigma-prime rings and prove that if G is an (alpha,beta)-derivation which acts as a homomorphism or as an anti-homomorphism on I, then G = 0 or G = on I.
Details
- Language :
- English, Portuguese
- ISSN :
- 00378712 and 21751188
- Volume :
- 29
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Boletim da Sociedade Paranaense de Matemática
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1b500703227c4f0fa0ff1bb350f8be4f
- Document Type :
- article