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Uni-Soft Structures Applied to Ordered \(\Gamma \)-Semihypergroups

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Abstract

In this paper, the notions of uni-soft sub \(\Gamma \) -semihypergroups, uni-soft left (resp., right) \(\Gamma \)-hyperideals and uni-soft interior \(\Gamma \)-hyperideals of ordered \(\Gamma \)-semihypergroups are introduced. We introduce the notion of uni-soft simple ordered \(\Gamma \)-semihypergroups. Furthermore, we characterize uni-soft simple ordered \(\Gamma \)-semihypergroups in terms of these notions.

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Acknowledgements

The authors are very thankful to the reviewers for their comments which greatly improve the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University, Mardan, KR, Pakistan

    Asghar Khan & Muhammad Farooq

  2. Department of Mathematics, College of Science Al-Znlfi. Majmaah University, Al-Zulfi, 11932, Saudi Arabia

    Naveed Yaqoob

Authors
  1. Asghar Khan
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  2. Muhammad Farooq
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  3. Naveed Yaqoob
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Correspondence to Naveed Yaqoob.

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Khan, A., Farooq, M. & Yaqoob, N. Uni-Soft Structures Applied to Ordered \(\Gamma \)-Semihypergroups. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 90, 457–465 (2020). https://doi.org/10.1007/s40010-019-00602-x

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