University of Guilan Journal of Algebra and Related Topics 2345-3931 5 1 2017 06 01 Properties of extended ideal based zero divisor graph of a commutative ring 52 59 2404 10.22124/jart.2017.2404 EN K. Porselvi Karunya University R. Solomon Jones Karunya University Journal Article 2017 05 02 This paper deals with some results concerning the notion of extended ideal based zero divisor graph $\overline \Gamma_I(R)$ for an ideal $I$ of a commutative ring $R$ and characterize its bipartite graph. Also, we study the properties of an annihilator of $\overline \Gamma_I(R)$.<br /><br /> Commutative rings ideals prime ideals zero-divisor graph https://jart.guilan.ac.ir/article_2404_5fcd793296350fc946528bcb35707617.pdf