Affiliation:
1. Aligarh Muslim University
2. Sidi Mohammed Ben Abdllah University
Abstract
Let N be a near ring. An additive mapping F : N ! N is said to be a generalized semiderivation on N if there exists a semiderivation d : N ! N associated with a function g : N ! N such that F(xy) = F(x)y + g(x)d(y) = d(x)g(y) + xF(y) and F(g(x)) = g(F(x)) for all x; y 2 N. In this paper we prove some theorems in the setting of semigroup ideal of a 3-prime near ring admitting a nonzero generalized semiderivation associated with a nonzero semiderivation, thereby extending some known results on derivations, semiderivations and generalized derivations.
Funder
Science and Engineering Research Board
Publisher
Sociedade Paranaense de Matematica
Reference8 articles.
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