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   strongly regular relations derived from fundamental relation  
   
نویسنده afshar b. ,ameri r.
منبع journal of algebraic hyperstructures and logical algebras - 2023 - دوره : 4 - شماره : 2 - صفحه:123 -130
چکیده    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.
کلیدواژه commutator subgroup ,congruence relation ,regular relation
آدرس university of tehran, department of mathematics, statistics and computer science, iran, university of tehran, department of mathematics, statistics and computer science, iran
پست الکترونیکی rameri@ut.ac.ir
 
     
   
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