On bi-ideals of ordered semigroups
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GU, Ze. On bi-ideals of ordered semigroups. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 1(39), pp. 149-154. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 1(39) / 2018 / ISSN 1561-2848

On bi-ideals of ordered semigroups

CZU: 512.552+512.545
MSC 2010: 06F05,20M12

Pag. 149-154

Gu Ze
 
School of Mathematics and Statistics Zhaoqing University
 
 
Disponibil în IBN: 17 august 2018


Rezumat

The concepts of strongly quasi-prime, quasi-prime, quasi-semiprime, strongly irreducible and irreducible bi-ideals of an ordered semigroup are introduced. Moreover, we characterize regular and intra-regular ordered semigroups using bi-ideals, and investigate the ordered semigroups in which every bi-ideal is strongly quasi-prime.

Cuvinte-cheie
orderedsemigroup, (strongly)quasi-primebi-ideals, quasi-semiprimebi-ideals, (strongly)irreduciblebi-ideals.Thisresearchwassupp ortedbytheNationalNaturalScienceFoundationofChina(No.11701504), theYoungInnovativeTalentPro jectofDepartmentofEducationofGuangdongProvince(No.2016KQNCX180)andtheUniversityNaturalSciencePro jectofAnhuiPro-vince(No.KJ2018A0329)