A Study onA−I−Γ-Hyperideals andm,n−Γ-Hyperfilters in OrderedΓ-Semihypergroups | Zendy

Yongsheng Rao | Zendy; Saeed Kosari | Zendy; Zehui Shao | Zendy; Maryam Akhoundi | Zendy; Saber Omidi | Zendy

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A Study on

A - I - Γ

-Hyperideals and

(m, n) - Γ

-Hyperfilters in Ordered

Γ

-Semihypergroups

Author(s) -

Yongsheng Rao,

Saeed Kosari,

Zehui Shao,

Maryam Akhoundi,

Saber Omidi

Publication year - 2021

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2021/6683910

Subject(s) - mathematics , generalization , mathematical analysis

The concept of almost interior Γ -hyperideals ( A − I − Γ -hyperideals) in ordered Γ -semihypergroups is a generalization of the concept of interior Γ -hyperideals ( I − Γ -hyperideals). In this study, the connections between I − Γ -hyperideals and A − I − Γ -hyperideals in ordered Γ -semihypergroups were presented. Also, we define the notion of m , n - Γ -hyperfilters of ordered Γ -semihypergroups and provide useful results on it. Moreover, we use the weak pseudoorders to construct quotient ordered Γ -semihypergroups by using ordered regular equivalence relations. These concepts lead us to a new research direction in ordered Γ -semihypergroups.

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