Title of article :
DIVISOR TOPOLOGIES AND THEIR ENUMERATION
Author/Authors :
Esmaeeli ، F. Department of Pure Mathematics - Ferdowsi University of Mashhad , Mirzavaziri ، K. Department of Computer Science - School of Mathematics, Statistics and Computer Science - University of Tehran , Mirzavaziri ، M. Department of Pure Mathematics - Ferdowsi University of Mashhad
Abstract :
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.
Keywords :
Topology , Divisor topology , Semi , divisor topology
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
