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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1232,
author = {Neshtiman Nooraldeen Suliman},
title = {Some results of reverse derivation on prime and semiprime $\Gamma$-rings},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {35},
year = {2015},
pages = {53-58},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1232}
}
Neshtiman Nooraldeen Suliman. Some results of reverse derivation on prime and semiprime Γ-rings. Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015) pp. 53-58. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1232/
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