19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
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On the Zero-Divisor Graphs of Multiplication Modules

Presented by Dr. Rezvan VARMAZYAR
Type: Oral presentation
Track: General session


Let R be a commutative ring with identity and M be a multiplication R-module. For elements x and y of M, we recall that the product of Rx and Ry is denoted by xy and is defined by (IJ)M where I and J are presentation ideals of Rx and Ry, respectively. An element x in a multiplication module M is called a zero divisor if xy=0 for some non-zero element y of M. A zero-divisor graph of a multiplication module M is defined as the graph X_M that it's vertices are X_M^{*}=X_M-{0} in which for every distinct vertices x and y ,x-y is an edge if and only if xy=0. In this paper we give some results of the concept of zero-divisor graphs for multiplication modules.


Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled

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