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Some Properties of Weak Γ-Hyperfilters in OrderedΓ-Semihypergroups

Author

Listed:
  • Yongsheng Rao
  • Xiang Chen
  • Saeed Kosari
  • Mohammadsadegh Monemrad
  • Márcio J. Lacerda

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.

Suggested Citation

  • Yongsheng Rao & Xiang Chen & Saeed Kosari & Mohammadsadegh Monemrad & Márcio J. Lacerda, 2022. "Some Properties of Weak Γ-Hyperfilters in OrderedΓ-Semihypergroups," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-5, February.
    • Handle: RePEc:hin:jnlmpe:1850699
    DOI: 10.1155/2022/1850699
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