IJPAM: Volume 102, No. 3 (2015)
AN ENDOMORPHISM AND AS AN ANTI-ENDOMORPHISM
IN SEMIPRIME -RING M WITH INVOLUTION
School of Mathematical Sciences
Universiti Sains Malaysia, 11800 USM
Department of Mathematics
University of Baghdad
Abstract. Let M be a semiprime -ring with involution satisfying the condition that and . An additive mapping is called -derivation if . In this paper we will prove that if d is -derivation of a semiprime -ring with involution which is either an endomorphism or anti-endomorphism, then d=0.
Received: March 25, 2015
AMS Subject Classification: 16W10, 16W25, 16N60
Key Words and Phrases: endomorphism of -ring M, semiprime -ring with involution, -derivation
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DOI: 10.12732/ijpam.v102i3.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 495 - 501
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