Some commutativity conditions for Gamma-Generalized Boolean Semiring

Utsanee Leerawat, Katthaleeya Daowsud


In this paper, we investigate some properties of commutative Gamma-idealsin Gamma-generalized Boolean semiring. Also, we obtain commutativity of Gamma-generalizedBoolean semiring satisfying some suitable conditions. Furthermore, we investigatethe commutativity of prime Gamma-generalized Boolean semiring R possessing a non-identity commuting automorphism and satisfying right distribution: (b + c) alplha a =b alpha a + c alpha a for all a, b, c in R and alpha in Gamma.

Full Text: PDF


  • There are currently no refbacks.

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

Copyright 2022 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|