Chiang Mai Journal of Science

Print ISSN: 0125-2526 | eISSN : 2465-3845

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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.

Keywords: graph, idealization, coprimary, secondary, zero-divisor

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