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Structural Properties of Cubic Sets in Regular LA-semihypergroups
Authors:Muhammad Gulistan  Madad Khan  Naveed Yaqoob  Muhammad Shahzad
Affiliation:1. Department of Mathematics, Hazara University, Mansehra, Pakistan;2. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan;3. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia
Abstract:In this article we characterize the regular LA-semihypergroups in terms of (Γ,ΓqΔ)-cubic (left, right, two sided, bi, generalized bi, interior, quasi)-hyperideals of LA-semihypergroups. Meanwhile, some illustrative examples are given to show the rationality of the definitions popularized in the present paper.
Keywords:LA-semihypergroups  Cubic sets  Regular LA-semihypergroups
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