Ordered regular equivalence relations on ordered semihypergroups

DOI10.1016/j.jalgebra.2015.11.026zbMath1332.06063OpenAlexW2184403059MaRDI QIDQ906871

Xilin Tang, Ze Gu

Publication date: 29 January 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2015.11.026

zbMATH Keywords

ordered semigroupshyperidealsordered semihypergroupshyperfiltersstrongly ordered regular equivalence relations

Mathematics Subject Classification ID

Ordered semigroups and monoids (06F05) Ordered structures (06F99) Hypergroups (20N20)

Related Items (17)

Roughness in hypervector spaces ⋮ Uni-soft structures applied to ordered \(\Gamma\)-semihypergroups ⋮ A study on weak hyperfilters of ordered semihypergroups ⋮ Characterizations of (strongly) ordered regular relations on ordered semihypergroups ⋮ A further study on ordered regular equivalence relations in ordered semihypergroups ⋮ Study on Green's relations in ordered semihypergroups ⋮ A short note on the left A-Γ-hyperideals in ordered Γ-semihypergroups ⋮ Unnamed Item ⋮ On the paper “A study on (strong) order-congruences in ordered semihypergroups” ⋮ Approximate positional analysis of fuzzy social networks ⋮ Characterization of Ordered Semihypergroups by Covered Hyperideals ⋮ Unnamed Item ⋮ A novel investigation on fuzzy hyperideals in ordered \(*\)-semihypergroups ⋮ An investigation on hyper \(S\)-posets over ordered semihypergroups ⋮ A study on \(A-I-\Gamma\)-hyperideals and \((m, n)-\Gamma\)-hyperfilters in ordered \(\Gamma\)-semihypergroups ⋮ Unnamed Item ⋮ Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Cites Work

• Fully simple semihypergroups.
• Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder.
• Free and cyclic hypermodules
• On the semi-sub-hypergroups of a hypergroup
• On subdirectly irreducible ordered semigroups
• On regular, strongly regular congruences on ordered semigroups
• Pseudoorder in ordered semigroups
• Existence of proper semihypergroups of type \(U\) on the right.
• On Quasi-Hyperideals in Semihypergroups
• Hyperfilters and fuzzy hyperfilters of ordered semihypergroups
• Study on the Structure of Γ-Semihypergroups
• Polygroup Theory and Related Systems
• Some results on congruences on semihypergroups
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