Event calendar file
19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
On the Zero-Divisor Graphs of Multiplication Modules
Presented by Dr. Rezvan VARMAZYAR
Type: Oral presentation
Track: General session
Content
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.
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled
Primary authors
- Dr. Rezvan VARMAZYAR Department of mathematics,(I.A.U)-Khoy branch,Khoy,West Azarbayejan- Iran
