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- Title
CHARACTERIZATIONS OF ORDERED SEMIGROUPS BY THE PROPERTIES OF THEIR ORDERED (m; n) QUASI-IDEALS.
- Authors
Thongrak, Suthin; Iampan, Aiyared
- Abstract
The aim of this paper is to study the concept of ordered (m; n) quasi-ideals in ordered semigroups that are studied analogously to the concept of (m; n) quasi-ideals in semigroups considered by Ansari, Khan and Kaushik in 2009. Regular ordered semigroups are characterized by their ordered (m; n) quasi-ideals and the fact that every ordered (m; n) quasi-ideal of a regular ordered semigroup has the ordered (m; n) intersection property, i.e., the intersection of an ordered m left ideal and an ordered n right ideal of an ordered semigroup.
- Subjects
SEMIGROUPS (Algebra); IDEAL spaces (Mathematics); INTERSECTION theory
- Publication
Palestine Journal of Mathematics, 2018, Vol 7, Issue 1, p299
- ISSN
2219-5688
- Publication type
Article