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http://dx.doi.org/10.4134/JKMS.2009.46.2.313

ZERO-DIVISOR GRAPHS WITH RESPECT TO PRIMAL AND WEAKLY PRIMAL IDEALS  

Atani, Shahabaddin Ebrahimi (SHAHABADDIN EBRAHIMI ATANI DEPARTMENT OF MATHEMATICS GUILAN UNIVERSITY)
Darani, Ahamd Yousefian (DEPARTMENT OF MATHEMATICS UNIVERSITY OF MOHAGHEGH ARDABILI)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.2, 2009 , pp. 313-325 More about this Journal
Abstract
We consider zero-divisor graphs with respect to primal, nonprimal, weakly prime and weakly primal ideals of a commutative ring R with non-zero identity. We investigate the interplay between the ringtheoretic properties of R and the graph-theoretic properties of ${\Gamma}_I(R)$ for some ideal I of R. Also we show that the zero-divisor graph with respect to primal ideals commutes by localization.
Keywords
zero-divisor graph; primal; weakly primal;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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