On certain pairs of functions of semiprime rings
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- by Matej Brešar PDF
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Abstract:
Let $f$ and $g$ be functions of a set $S$ into a semiprime ring $R$. A necessary and sufficient condition for $f$ and $g$ to satisfy $f(s)xg(t) = g(s)xf(t)$ for all $s,t \in S,x \in R$ is given. As an application, biderivations and commuting additive mappings of semiprime rings are characterized.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 709-713
- MSC: Primary 16N60; Secondary 16W25
- DOI: https://doi.org/10.1090/S0002-9939-1994-1181158-3
- MathSciNet review: 1181158