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   commutators-based graph in polygroup  
   
نویسنده hamidi mohammad ,mohammadzadeh elahe ,amirmofidi somayeh
منبع journal of mahani mathematical research - 2024 - دوره : 13 - شماره : 4 - صفحه:39 -52
چکیده    In this paper, first, we study commutators of a polygroup. then for a finite polygroup and a fixed element , we introduce the -graph . in addition, with some additional conditions, we see that it is connected and the diameter is at most . then, we investigate isomorphic graphs. specially, we obtain a new isomorphic graph derived from an isomorphic graph and two non-commutative isomorphic polygroups. also, we show that two polygroups with isomorphic graphs preserve nilpotency
کلیدواژه polygroup‎، ‎related graph‎، ‎commutator
آدرس university of payame noor, department of mathematics, iran, university of payame noor, department of mathematics, iran, university of payame noor, department of mathematics, iran
پست الکترونیکی s.amirmofidi@yahoo.com
 
     
   
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