On ordered semigroups containing covered one-sided ideals
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512.534.3 (2)
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CHANGPHAS, Thawhat, SUMMAPRAB, Pisan. On ordered semigroups containing covered one-sided ideals. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 201-210. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

On ordered semigroups containing covered one-sided ideals

CZU: 512.534.3
MSC 2010: 06F05

Pag. 201-210

Changphas Thawhat, Summaprab Pisan
 
Khon Kaen University
 
 
Disponibil în IBN: 16 decembrie 2018


Rezumat

In this paper, the notion of covered left ideals of ordered semigroups will be introduced, and it is proved that the set of all covered left ideals of a given ordered semigroup is a sublattice of the lattice of all left ideals if the ordered semigroup. And then the structure of ordered semigroups containing covered left ideals will be studied. For the results of covered right ideals of ordered semigroups can be considered similarly..  

Cuvinte-cheie
orderedsemigroup, leftideal, rightbase, maximalleftideal, coveredleftideal.Theresearchwassupp ortedbyInternationalVisitingScholar, KhonKaenUniversity, 2017andCentreofExcellenceinMathematics, CHE., SiAyuttayaRd., Bangkok10400, Thailand