Some Remarks on Paramedial Semigroups and Medial Semigroups

Nares Sawatraksa, Chaiwat Namnak, Chaiwat Namnak

Abstract


Let S be a semigroup. We say that S is a medial if abcd = acbdfor all a,b,c,d ∈ S and S is a paramedial if abcd = dbca for all a,b,c,d ∈ S. In this paper, we investigate some properties of the regularity and Green's relations. Moreover, we describe compatibility with the natural partial order on paramedial semigroups and medial 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|