S. Mirvakili, S.M. Anvariyeh and B. Davvaz: Transitivity of $\Gamma$-relation on hyperfields, p.233-243

Abstract:

In this paper we introduce the complete parts on hyperrings and study the complete closure on hyperrings. Also, we consider the fundamental relation $\Gamma$ on hyperrings and we prove that the relation $\Gamma$ is transitive on hyperfields.

Key Words: Hyperring, complete part, hyperfield, strongly regular relation, fundamental relation, transitive.

2000 Mathematics Subject Classification: Primary: 16Y99,
Secondary: 20N20.

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