A typical graph structure of a ring

The zero-divisor graph of a commutative ring R with respect to nilpotent elements is a simple undirected graph $Gamma_N^*(R)$ with vertex set Z_N(R)*, and two vertices x and y are adjacent if and only if xy is nilpotent and xy is nonzero, where Z_N(R)={x in R: xy is nilpotent, for some y in R^*}. In...

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Bibliographic Details
Main Authors: R. Kala, S. Kavitha
Format: Article
Language:English
Published: University of Isfahan 2015-06-01
Series:Transactions on Combinatorics
Subjects:
Online Access:http://www.combinatorics.ir/pdf_6177_95c66f3ddffbab1d427f14e4b0d0e823.html