Γ∗-Relation on Fuzzy Hyperrings and Fundamental Ring

N. Firouzkouhi and B. Davvaz ()
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N. Firouzkouhi: Department of Mathematics, Yazd University, Yazd, Iran
B. Davvaz: Department of Mathematics, Yazd University, Yazd, Iran

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 691-701

Abstract: Fundamental relation performs an important role on fuzzy algebraic hyperstructure and is considered as the smallest equivalence relation such that the quotient is a universal algebra. In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hyperrings such that the set of the quotient is a ring that is non-commutative. Also, we introduce the concept of a complete part of a fuzzy hyperring and study its principal traits. At last, we convey the relevance between the fundamental relation and complete parts of a fuzzy hyperring.

Keywords: Fuzzy hyperring; fundamental relation; complete part (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S1793005721500344

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