Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ -Semihypergroups

Yongsheng Rao; Qixin Zhou; Ruiqi Cai; Aysha Khan

doi:10.1155/2022/2292712

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Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ -Semihypergroups

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Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ -Semihypergroups

Yongsheng Rao, Qixin Zhou, Ruiqi Cai and Aysha Khan

Mathematical problems in engineering, Vol.2022, pp.1-4

01/11/2022

DOI: https://doi.org/10.1155/2022/2292712

Abstract

We give some conditions on ordered Γ -semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ -semihypergroups, the hyperideals and the interior hyperideals coincide. To show the importance of these results, some examples and conclusions are provided.

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Title: Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ -Semihypergroups
Creators - without role: Yongsheng Rao - Guangzhou University
Qixin Zhou - Guangzhou University
Ruiqi Cai - Guangzhou University
Aysha Khan - Prince Sattam Bin Abdulaziz University
Contributors - without role: Zahir Shah
Publication Details: Mathematical problems in engineering, Vol.2022, pp.1-4
Identifiers: 9926476808331
Academic Unit: Prince Sattam Bin Abdulaziz University
Language: English
Resource Type: Journal article