Characterizations of soft Γ-hyperideals in ordered Γ-semihypergroups

In this paper, soft intersection Γ -hyperideals of ordered Γ -semihypergroups over an initial universe V are defined and some properties of them with soft intersection product are obtained. Further, some characterizations of regular and intra-regular ordered Γ -semihypergroups in terms of soft inter...

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Bibliographic Details
Published inAfrika mathematica Vol. 31; no. 5-6; pp. 847 - 867
Main Authors Abbasi, Mohammad Y., Hila, Kostaq, Khan, Sabahat A., Talee, Aakif F.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2020
Springer Nature B.V
Subjects
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
semihypergroups
hyperideals
Soft intersection
Regular and intra-regular ordered
Semisimple ordered
Ordered
20N20
03E75
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Summary:In this paper, soft intersection Γ -hyperideals of ordered Γ -semihypergroups over an initial universe V are defined and some properties of them with soft intersection product are obtained. Further, some characterizations of regular and intra-regular ordered Γ -semihypergroups in terms of soft intersection Γ -hyperideals are provided. We also introduce the notion of semisimple ordered Γ -semihypergroups. Finally, we give some characterizations of semisimple ordered Γ -semihypergroups in terms of soft prime and soft semiprime Γ -hyperideals.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-020-00765-6