ArticleOriginal scientific text
Title
Some results of reverse derivation on prime and semiprime Γ-rings
Authors 1
Affiliations
- Department of Mathematics, College of Education, Salahadeen University, Erbil, Iraq
Abstract
In the present paper, it is introduced the definition of a reverse derivation on a Γ-ring M. It is shown that a mapping derivation on a semiprime Γ-ring M is central if and only if it is reverse derivation. Also it is shown that M is commutative if for all a,b ∈ I (I is an ideal of M) satisfying d(a) ∈ Z(M), and d(a ∘ b) = 0.
Keywords
Prime Γ-rings, semiprime Γ-rings, derivations, reverse derivations
Bibliography
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Pages:
53-58
Main language of publication
English
Received
2014-11-15
Accepted
2015-03-17
Published
2015
DOI: 10.7151/dmgaa.1232
Exact and natural sciences