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Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ-Semihypergroups

Author

Listed:
  • Yongsheng Rao
  • Qixin Zhou
  • Ruiqi Cai
  • Aysha Khan
  • Zahir Shah

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.

Suggested Citation

  • Yongsheng Rao & Qixin Zhou & Ruiqi Cai & Aysha Khan & Zahir Shah, 2022. "Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ-Semihypergroups," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-4, November.
    • Handle: RePEc:hin:jnlmpe:2292712
    DOI: 10.1155/2022/2292712
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