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- Title
IDENTITIES WITH MULTIPLICATIVE GENERALIZED (α, α)-DERIVATIONS OF SEMIPRIME RINGS.
- Authors
SANDHU, GURNINDER SINGH; AYRAN, AYŞE; AYDIN, NEŞET
- Abstract
Let R be a semiprime ring and α be an automorphism of R. A mapping F : R → R (not necessarily additive) is called multiplicative generalized (α, α)- derivation if there exists a unique (α, α)-derivation d of R such that F(xy) = F(x)α(y) + α(x)d(y) for all x, y = R. In the present paper, we intend to study several algebraic identities involving multiplicative generalized (α, α)-derivations on appropriate subsets of semiprime rings and collect the information about the commutative structure of these rings.
- Subjects
COMMUTATIVE rings; SEMIRINGS (Mathematics); AUTOMORPHISMS; MORPHISMS (Mathematics)
- Publication
Kragujevac Journal of Mathematics, 2024, Vol 48, Issue 3, p365
- ISSN
1450-9628
- Publication type
Article
- DOI
10.46793/KgJMat2403.365S