Advances and Applications in Discrete Mathematics
Volume 5, Issue 1, Pages 1 - 9
(January 2010)
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STRONG ZERO-DIVISOR GRAPH OF A COMMUTATIVE SEMIGROUP
Yahya Talebi and Azin Sanjari
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Abstract: The strong zero-divisor graph of a commutative semigroup with zero is a graph whose vertices are non-zero strong zero-divisors of the semigroup, with two distinct vertices are connected by an edge if the product of their principal ideals is zero. We study the conditions of a graph to be strong zero-divisor graph and then introduce graphs that are strong zero-divisor graph of a semigroup. |
Keywords and phrases: commutative semigroup, strong zero-divisor, graph. |
Communicated by Xiangwen Li |
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