Zero-Divisor Graphs of Idealizations with Respect to Modules
Shahabaddin E. Atani, and F. Farzalipour* Author for corresponding; e-mail address: ebrahimi@guilan.ac.ir
Volume: Vol.36 No.1 (JANUARY 2009)
Research Article
DOI:
Received: 15 May 2008, Revised: -, Accepted: 14 November 2008, Published: -
Citation: Atani S.E. and Farzalipour F., Zero-Divisor Graphs of Idealizations with Respect to Modules, Chiang Mai Journal of Science, 2009; 36(1): 5-8.
Abstract
Let R be a commutative ring with identity and let M be a coprimary (resp. secondary) R-module. Let R(+)M be the idealization of the ring R by the R-module M. We study the diameter and girth of the zero-divisor graph of the ring R(+)M.