Permuting Tri-Derivations of Semiprime Gamma Rings
نویسندگان
چکیده
منابع مشابه
Generalized Derivations on Semiprime Gamma Rings with Involution
An extensive generalized concept of classical ring set forth the notion of a gamma ring theory. As an emerging field of research, the research work of classical ring theory to the gamma ring theory has been drawn interest of many algebraists and prominent mathematicians over the world to determine many basic properties of gamma ring and to enrich the world of algebra. The different researchers ...
متن کاملA note on derivations in semiprime rings
We prove in this note the following result. Let n > 1 be an integer and let R be an n!torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D : R→ R such that D(xn) =∑nj=1 xn− jD(x)x j−1is fulfilled for all x ∈ R. In this case, D is a derivation. This research is motivated by the work of Bridges and Bergen (1984). Throughout, R will represent an associ...
متن کاملOn 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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ژورنال
عنوان ژورنال: Journal of Scientific Research
سال: 2012
ISSN: 2070-0245,2070-0237
DOI: 10.3329/jsr.v5i1.9549