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http://dx.doi.org/10.14317/jami.2022.769

ANTI-HYBRID INTERIOR IDEALS IN ORDERED SEMIGROUPS  

LINESAWAT, KRITTIKA (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus)
LEKKOKSUNG, SOMSAK (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus)
LEKKOKSUNG, NAREUPANAT (Division of Mathematics, Faculty of Engineering, Rajamangala University of Technology Isan, Khon Kaen Campus)
Publication Information
Journal of applied mathematics & informatics / v.40, no.3_4, 2022 , pp. 769-784 More about this Journal
Abstract
The main theme of this present paper is to study ordered semigroups in the context of anti-hybrid interior ideals. The notion of anti-hybrid interior ideals in ordered semigroups is introduced. We prove that the concepts of ideals and interior coincide in some particular classes of ordered semigroups; regular, intra-regular, and semisimple. Finally, the characterization of semisimple ordered semigroups in terms of anti-hybrid interior ideals is considered.
Keywords
Ordered semigroup; hybrid structure; anti-hybrid ideal; anti-hybrid interior ideal;
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