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Your search keyword '"Rao, Yongsheng"' showing total 14 results
Start Over Author "Rao, Yongsheng" Publisher hindawi limited
14 results on '"Rao, Yongsheng"'

6. Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ-Semihypergroups.

Author

Rao, Yongsheng, Zhou, Qixin, Cai, Ruiqi, and Khan, Aysha

Subjects
*SEMIDEFINITE programming
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. [ABSTRACT FROM AUTHOR]

Published
2022
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7. A Study on A−I−Γ-Hyperideals and m,n−Γ-Hyperfilters in Ordered Γ-Semihypergroups

Author

Rao, Yongsheng, Kosari, Saeed, Shao, Zehui, Akhoundi, Maryam, and Omidi, Saber

Subjects
Article Subject, QA1-939, Mathematics
Abstract

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.

Published
2021

11. Some Properties of Weak Γ-Hyperfilters in OrderedΓ-Semihypergroups.

Author

Rao, Yongsheng, Chen, Xiang, Kosari, Saeed, and Monemrad, Mohammadsadegh

Subjects
*GENERALIZATION
Abstract

The main purpose of this paper is to study fundamental properties of weak Γ -hyperfilters on ordered Γ -semihypergroups that is a generalization of Γ -hyperfilters. Also, we investigate the relationship between weak Γ -hyperfilters and prime Γ -hyperideals in ordered Γ -semihypergroups. Finally, we introduce weak m , n - Γ -hyperfilters of ordered Γ -semihypergroups and conclude in paper with arising explicit theorems. [ABSTRACT FROM AUTHOR]

Published
2022
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