A Note on Homomorphisms and Anti-Homomorphisms on ∗-Ring

Nadeem ur Rehman, Abu Zaid Ansari, Claus Haetinger

Abstract


In this paper we describe generalized left $\ast$-derivation $F:R\to R$ in
$\ast$-prime ring and prove that if $F$ acts as homomorphism or anti-homomorphism on $R$, then either $R$ is commutative or $F$ is a right $\ast$-centralizer on $R$. Analogous results have been proved for generalized left $\ast$-biderivation and Jordan $\ast$-centralizer on $R$.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

Copyright 2020 by the Mathematical Association of Thailand.

All rights reserve. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission of the Mathematical Association of Thailand.

|ISSN 1686-0209|