On right chain ordered semihypergroups

Yiarayong, Pairote; Davvaz, Bijan; Chinram, Ronnason

doi:10.22436/jmcs.024.01.06

Cited by 2 publications

(1 citation statement)

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“…In 2021, Gu [8] extended classification of weakly semiprime segments in ordered semigroups to ordered semihypergroups. By this similar idea, extending a study in ordered semigroups to ordered semihypergroups, Yiarayong et al [29] classified completely prime ideals in ordered semihypergroups. By these two studies, the primness properties of hyperideals are spotted considered.…”

Section: Introductionmentioning

confidence: 95%

Characterizations of regularities in ordered semihypergroups in terms of some generalized union soft hyperideals

Mekwian¹,

Lekkoksung²,

Lekkoksung³

2021

J. Math. Computer Sci.

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A soft set of E over U is a mapping from E to the set of all subsets of U. There are many studies that apply the concept of soft sets to investigate the properties of some algebraic structures. The notions of (M, N)-union soft left (resp., right) hyperideals in ordered semihypergroups were introduced by Farooq, Khalaf, and Khan. These concepts are generalizations of uni-soft left and right hyperideals. Ordered semihypergroups can be characterized by many mathematical concepts, such as their hyperideals, fuzzy hyperideals, and soft hyperideals. In this paper, we apply the notions of (M, N)-union soft left (resp., right) hyperideals to characterize some regularities of ordered semihypergroups: regular, weakly regular, and intra-regular ordered semihypergroups.

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Section: Introductionmentioning

confidence: 95%