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   boolean rings based on multirings  
   
نویسنده ameri reza ,hamidi mohammad ,tavakoli ali
منبع journal of sciences islamic republic of iran - 2021 - دوره : 32 - شماره : 2 - صفحه:159 -167
چکیده    The purpose of this paper is to construct boolean rings from multirings. in this regards, a method to construct a multigroup(multiring) on a given non-empty set, are introduced and its properties has been investigated. also, an equivalence relation on a multiring are introduced and it is extended to an smallest strongly regular  equivalence relation, such that its quotient  space be a commutative boolean ring with identity. finally, the transitivity of this relation based on complete parts are   proved.
کلیدواژه multigroup ,multiring ,fundamental relation ,boolean ring
آدرس university of tehran, school of mathematics, statistics and computer sciences, iran, payame noor university, faculty of mathematics, department of mathematics, iran, payame noor university, faculty of mathematics, department of mathematics, iran
 
     
   
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