Generalized Derivations on Prime Near Rings-Reference-Cited by-同舟云学术

Generalized Derivations on Prime Near Rings

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Ali Asma¹,Bell Howard E.²,Miyan Phool¹

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

2. Department of Mathematics, Brock University, St. Catharines, ON, Canada L2S 3A1

Abstract

LetNbe a near ring. An additive mappingf:N→Nis said to be a right generalized (resp., left generalized) derivation with associated derivationdonNiff(xy)=f(x)y+xd(y)(resp.,f(xy)=d(x)y+xf(y)) for allx,y∈N. A mappingf:N→Nis said to be a generalized derivation with associated derivationdonNiffis both a right generalized and a left generalized derivation with associated derivationdonN. The purpose of the present paper is to prove some theorems in the setting of a semigroup ideal of a 3-prime near ring admitting a generalized derivation, thereby extending some known results on derivations.

Funder

University Grants Commission

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2013/170749.pdf

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