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   divisor topologies and their enumeration  
   
نویسنده esmaeeli f. ,mirzavaziri k. ,mirzavaziri m.
منبع journal of algebraic systems - 2022 - دوره : 10 - شماره : 1 - صفحه:111 -119
چکیده    For a positive integer m, a subset of divisors of m is called a divisor topology on m if it contains and m and it is closed under taking and . if m p1...pn is a square free positive integer, then a divisor topology m corresponds to a topology on the set n , ,...,n. giving some facts about divisor topologies, we give a recursive formula for the number of divisor topologies on a positive integer.
کلیدواژه topology ,divisor topology ,semi-divisor topology
آدرس ferdowsi university of mashhad, department of pure mathematics, iran, university of tehran, school of mathematics, statistics and computer science, department of computer science, iran, ferdowsi university of mashhad, department of pure mathematics, iran
پست الکترونیکی mirzavaziri@gmail.com;mirzavaziri@um.ac.ir
 
     
   
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