On Generalized Semiderivations of Prime Near Rings
Joint Authors
Boua, Abdelkarim
Raji, A.
Ali, Asma
Ali, Farhat
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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∈N.
In this paper we prove that prime near rings satisfying identities involving semiderivations are commutative rings, thereby extending some known results on derivations, semiderivations, and generalized derivations.
We also prove that there exist no nontrivial generalized semiderivations which act as a homomorphism or as an antihomomorphism on a 3-prime near ring N.
American Psychological Association (APA)
Boua, Abdelkarim& Raji, A.& Ali, Asma& Ali, Farhat. 2015. On Generalized Semiderivations of Prime Near Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1066215
Modern Language Association (MLA)
Boua, Abdelkarim…[et al.]. On Generalized Semiderivations of Prime Near Rings. International Journal of Mathematics and Mathematical Sciences No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1066215
American Medical Association (AMA)
Boua, Abdelkarim& Raji, A.& Ali, Asma& Ali, Farhat. On Generalized Semiderivations of Prime Near Rings. International Journal of Mathematics and Mathematical Sciences. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1066215
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1066215