On Commutativity of Semiprime Rings with Multiplicative (Generalized)-derivations
نویسندگان
چکیده
منابع مشابه
On Generalized Derivations of Semiprime Rings
Let F be a commuting generalized derivation, with associated derivation d, on a semiprime ring R. We show that d(x)[y, z] = 0 for all x, y, z ∈ R and d is central. We define and characterize dependent elements of F and investigate a decomposition of R relative to F . Mathematics Subject Classification: 16N60, 16W25
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Let R be a ring with involution ′∗′. A map δ of the ring R into itself is called a derivation if δ(xy) = δ(x)y + xδ(y) for all x, y ∈ R. An additive map F : R → R is called a generalized derivation on R if F(xy) = F(x)y + xδ(y) for all x, y ∈ R, Permanent address: Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh202002, India 292 Shakir Ali and Husain Alhazmi whe...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2017
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v9n2p9