A study on \(A-I-\Gamma\)-hyperideals and \((m, n)-\Gamma\)-hyperfilters in ordered \(\Gamma\)-semihypergroups
type: Item
instance of: scholarly article
title: A study on \(A-I-\Gamma\)-hyperideals and \((m, n)-\Gamma\)-hyperfilters in ordered \(\Gamma\)-semihypergroups
zbMATH Open document ID: 1465.20006
DOI: 10.1155/2021/6683910
author: Yongsheng Rao
author: Saeed Kosari
author: Zehui Shao
author: Maryam Akhoundi
author: Saber Omidi
published in: Discrete Dynamics in Nature and Society
publication date: 2021-07-02T00:00:00Z
review text: Summary: The concept of almost interior \(\Gamma\)-hyperideals \((A-\mathbf{I}-\Gamma\)-hyperideals) in ordered \(\Gamma\)-semihypergroups is a generalization of the concept of interior \(\Gamma\)-hyperideals \((\mathbf{I}-\Gamma\)-hyperideals). In this study, the connections between \(\mathbf{I}-\Gamma\)-hyperideals and \(A-\mathbf{I}-\Gamma\)-hyperideals in ordered \(\Gamma\)-semihypergroups were presented. Also, we define the notion of \((m, n)\)-\(\Gamma\)-hyperfilters of ordered \(\Gamma\)-semihypergroups and provide useful results on it. Moreover, we use the weak pseudoorders to construct quotient ordered \(\Gamma\)-semihypergroups by using ordered regular equivalence relations. These concepts lead us to a new research direction in ordered \(\Gamma\)-semihypergroups.
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20M75
Mathematics Subject Classification ID: 20M12
zbMATH DE Number: 7367244
describes a project that uses: Khan Academy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6683910
OpenAlex ID: W3162464328
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description: scientific article; zbMATH DE number 7367244