Universal Journal of Computational Mathematics(CEASE PUBLICATION) Vol. 2(3), pp. 48 - 55
DOI: 10.13189/ujcmj.2014.020302
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On Prime and Semiprime Rings with Additive Mappings and Derivations

Shakir Ali ^1,*, Basudeb Dhara ², Mohammad Salahuddin Khan ^1
1 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
² Department of Mathematics, Belda College, Belda, Paschim Medinipur-721424, India

ABSTRACT

Let R be an associative ring. A mapping f : R → R is said to be additive if f(x+y) = f(x)+f(y) holds for all x; y ∈ R: An additive mapping d : R → R is called a derivation if d(xy) = d(x)y + xd(y) holds for all x; y ∈ R: In this paper, we investigate commutativity of prime and semiprime rings satisfying certain identities involving additive mappings and derivations. Moreover, some results have also been discussed.

KEYWORDS
Prime Ring, Semiprime Ring, Ideal, Additive Mapping, Commuting Mapping, Derivation, Generalized Derivation

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Shakir Ali , Basudeb Dhara , Mohammad Salahuddin Khan , "On Prime and Semiprime Rings with Additive Mappings and Derivations," Universal Journal of Computational Mathematics(CEASE PUBLICATION), Vol. 2, No. 3, pp. 48 - 55, 2014. DOI: 10.13189/ujcmj.2014.020302.

(b). APA Format:
Shakir Ali , Basudeb Dhara , Mohammad Salahuddin Khan (2014). On Prime and Semiprime Rings with Additive Mappings and Derivations. Universal Journal of Computational Mathematics(CEASE PUBLICATION), 2(3), 48 - 55. DOI: 10.13189/ujcmj.2014.020302.