Strongly Regular Relations Derived from Fundamental Relation

Author(s):

B. Afshar * , R. Ameri

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.
Keywords:

commutator subgroup , congruence relation , regular relation

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:4 Issue: 2, Spring 2023
Pages:
123 to 130
https://www.magiran.com/p2663994  
سامانه نویسندگان
  • Ameri، Reza
    Author (2)
    Ameri, Reza
    Professor Department of Mathematics, School of Mathematics, Statistics and Computer Science, University of Tehran, Tehran, Iran
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