Relative bi-ideals and relative quasi ideals in ordered semigroups
نویسندگان
چکیده
منابع مشابه
Characterizing Ordered Bi-Ideals in Ordered Γ-Semigroups
The notion of a &Gamma-semigroup was introduced by Sen [8] in 1981. We can see that any semigroup can be considered as a &Gamma-semigroup. The aim of this article is to study the concept of (0-)minimal and max- imal ordered bi-ideals in ordered &Gamma-semigroups, and give some charac- terizations of (0-)minimal and maximal ordered bi-ideals in ordered &Gamma- semigroups analogous to the charact...
متن کاملBi-ideals in Ordered Γ-Semigroups
In this note, we show in the line of [3] that an ordered Γ-semigroup is left and right simple if and only if it does not contain proper bi-ideals. Mathematics Subject Classification: 06F99
متن کاملBi-Ideals in Ordered Ternary Semigroups
In this note, we show that an ordered ternary semigroup is left and right simple if and only if it does not contain proper bi-ideals. The similar result is valid on ordered semigroups [7], on ordered Γ-semigroups [3] and on ternary semigroups [4]. Mathematics Subject Classification: 06F05
متن کاملFuzzy Bi-ideals and Fuzzy Quasi-ideals in Ordered Semirings
The notions of fuzzy bi-ideals and fuzzy quasi-ideals in ordered semirings are introduced and some of their characterizations are obtained through regularity criterion.
متن کاملN - fuzzy quasi - ideals in ordered semigroups
In this paper, we introduce the concept of N -fuzzy quasi-ideals in ordered semigroups and investigate the basic theorem of quasi-ideals of ordered semigroups in terms of N -fuzzy quasi-ideals. We characterize left (resp. right) regular and completely regular ordered semigroups in terms of N -fuzzy quasi-ideals. We de ne semiprime N fuzzy quasi-ideals and characterize completely regular ordered...
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2019
ISSN: 2651-477X
DOI: 10.15672/hujms.624046