Strongly Regular Relations Derived from Fundamental Relation

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Ameri R.; Afshar B.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2023 | Volume:4 | Issue:2 Page(s): 123-130

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Information Journal Paper

Title

Strongly Regular Relations Derived from Fundamental Relation

Author(s)

Ameri R. | Afshar B. | Issue Writer Certificate

Keywords

Commutator subgroup

congruence relation

regular relation

Abstract

We introduce a new regular relation δ on a given group G and show that δ is a congurence relation on G, with respect to module the Commutator subgroup of G. Then we show that the effect of this relation on the fundamental relation β is equal to the fundamental relation γ, and we conclude that, if ρ is an arbitrary strongly regular relation on the hypergroup H, then the effect of δ on ρ, results in a strongly regular relation on H such that its quotient is an abelian group.

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