A generalization of multiplicative (generalized)-derivatons
Abstract
Let R be a semiprime ring and L be a semigroup ideal of R. The main object in this paper is to study the following situations in semiprime rings: When F is a multiplicative (α,1)-(generalized) derivation associated with a map d, (i) F(xy)±α(x)α(y)=0 for x,y∈L. (ii) F(x)F(y)±α(x)α(y)=0 for all x,y∈L. When F is a multiplicative (1,α)-(generalized) derivation associated with a map d, (iii) F(xy)±xy=0 for all x,y∈L. (iv) F(x)F(y)±xy=0 for all x,y∈L.
Copyright © 2017 Murat Çelik, Neset Aydin, Didem Yesil Sungur. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Çelik, N. Aydin, D. Y. Sungur, A generalization of multiplicative (generalized)-derivatons, J. Math. Comput. Sci. 7 (2017), 485–494.
BibTeX
@article{Çelik2017,
author = {Çelik, Murat and Aydin, Neset and Sungur, Didem Yesil},
title = {A generalization of multiplicative (generalized)-derivatons},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {485--494},
doi = {}
}