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Zero-Divisor Graphs of Idealizations with Respect to Modules


Paper Type 
 Contributed Paper
Title 
 Zero-Divisor Graphs of Idealizations with Respect to Modules
Author 
 Shahabaddin E. Atani, and F. Farzalipour
Email 
 ebrahimi@guilan.ac.ir
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.
Start & End Page 
 5 - 8
Received Date 
 2008-05-15
Revised Date 
Accepted Date 
 2008-11-14
Full Text 
   Download
Keyword 
 graph, idealization, coprimary, secondary, zero-divisor
Volume 
 Vol.36 No.1 (JANUARY 2009)
DOI 
Citation 
 Atani S.E. and Farzalipour F., Zero-Divisor Graphs of Idealizations with Respect to Modules, Chiang Mai J. Sci., 2009; 36(1): 5-8.
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