ON CERTAIN PAIRS OF FUNCTIONS OF SEMIPRIME RINGS

Authors
BRESAR M
Citation
M. Bresar, ON CERTAIN PAIRS OF FUNCTIONS OF SEMIPRIME RINGS, Proceedings of the American Mathematical Society, 120(3), 1994, pp. 709-713
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
3
Year of publication
1994
Pages
709 - 713
Database
ISI
SICI code
0002-9939(1994)120:3<709:OCPOFO>2.0.ZU;2-J
Abstract
Let f and g be functions of a set S into a semiprime ring R. A necessa ry and sufficient condition for f and g to satisfy f(s)xg(t) = g(s)xf( t) for all s, t is-an-element-of S, x is-an-element-of R is given. As an application, biderivations and commuting additive mappings of semip rime rings are characterized.