Publisher : Department of Mathematics, Kyungpook National University
DOI : 10.5666/KMJ.2011.51.3.301
Title & Authors
On *-bimultipliers, Generalized *-biderivations and Related Mappings Ali, Shakir; Khan, Mohammad Salahuddin;
In this paper we dene the notions of left *-bimultiplier, *-bimultiplier and generalized *-biderivation, and to prove that if a semiprime *-ring admits a left *-bimultiplier M, then M maps R R into Z(R). In Section 3, we discuss the applications of theory of *-bimultipliers. Further, it was shown that if a semiprime *-ring R admits a symmetric generalized *-biderivation G : R R R with an associated nonzero symmetric *-biderivation R R R, then G maps R R into Z(R). As an application, we establish corresponding results in the setting of -algebra.