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ZERO-DIVISOR GRAPHS WITH RESPECT TO PRIMAL AND WEAKLY PRIMAL IDEALS
Atani, Shahabaddin Ebrahimi,Darani, Ahamd Yousefian Korean Mathematical Society 2009 대한수학회지 Vol.46 No.2
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.
Zero-divisor graphs with respect to primal and weakly primal ideals
Shahabaddin Ebrahimi Atani,Ahamd Yousefian Darani 대한수학회 2009 대한수학회지 Vol.46 No.2
We consider zero-divisor graphs with respect to primal, non-primal, weakly prime and weakly primal ideals of a commutative ring R with non-zero identity. We investigate the interplay between the ring-theoretic properties of R and the graph-theoretic properties of Γ_{I} (R)$ for some ideal I of R. Also we show that the zero-divisor graph with respect to primal ideals commutes by localization. We consider zero-divisor graphs with respect to primal, non-primal, weakly prime and weakly primal ideals of a commutative ring R with non-zero identity. We investigate the interplay between the ring-theoretic properties of R and the graph-theoretic properties of Γ_{I} (R)$ for some ideal I of R. Also we show that the zero-divisor graph with respect to primal ideals commutes by localization.