On a-Maximal Ideals and C-Ideals of Ordered $\Gamma$-Semigroups

Jian Tang, Xiang-Yun Xie

Abstract


In this paper, we first introduce theĀ  concept of $a$-maximal ideals in ordered $\Gamma $-semigroups and give some characterizations of $a$-maximal ideals of ordered $\Gamma $-semigroups. Furthermore, the concept of $C$-ideals in ordered $\Gamma $-semigroups is introduced. Some results on semigroups containing no maximal ideals are extended to ordered $\Gamma $-semigroups.

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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).

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|ISSN 1686-0209|