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

  • Asghar Khan
  • Muhammad Farooq
  • Naveed YaqoobEmail author
Research Article
  • 19 Downloads

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.

Keywords

Uni-soft \(\Gamma \)-hyperideal Regular ordered \(\Gamma \)-semihypergroup Intra-regular ordered \(\Gamma \)-semihypergroup 

Mathematical Subject Classification

20N20 

Notes

Acknowledgements

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

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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.Department of MathematicsAbdul Wali Khan UniversityMardanPakistan
  2. 2.Department of MathematicsCollege of Science Al-Znlfi. Majmaah UniversityAl-ZulfiSaudi Arabia

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