[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2009.46.4.775

CHARACTERIZING THE MINIMALITY AND MAXIMALITY OF ORDERED LATERAL IDEALS IN ORDERED TERNARY SEMIGROUPS

Iampan, Aiyared (DEPARTMENT OF MATHEMATICS SCHOOL OF SCIENCE AND TECHNOLOGY NARESUAN UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.46, no.4, 2009 , pp. 775-784 More about this Journal

Abstract

In 1932, Lehmer [4] gave the definition of a ternary semigroup. We can see that any semigroup can be reduced to a ternary semigroup. In this paper, we give some auxiliary results which are also necessary for our considerations and characterize the relationship between the (0-)minimal and maximal ordered lateral ideals and the lateral simple and lateral 0-simple ordered ternary semigroups analogous to the characterizations of minimal and maximal left ideals in ordered semigroups considered by Cao and Xu [2].

Keywords

ordered semigroup; (ordered) ternary semigroup; (0-)minimal and maximal ordered lateral ideal and lateral (0-)simple ordered ternary semigroup;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
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Reference

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