On certain pairs of functions of semiprime rings-Reference-Cited by-同舟云学术

On certain pairs of functions of semiprime rings

Published:1994 Issue:3 Volume:120 Page:709-713
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Brešar Matej

Abstract

Let f f and g g be functions of a set S S into a semiprime ring R R . A necessary and sufficient condition for f f and g g to satisfy f ( s ) x g ( t ) = g ( s ) x f ( t ) f(s)xg(t) = g(s)xf(t) for all s , t ∈ S , x ∈ R s,t \in S,x \in R is given. As an application, biderivations and commuting additive mappings of semiprime rings are characterized.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-120-03/S0002-9939-1994-1181158-3/S0002-9939-1994-1181158-3.pdf

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