id: 06095376 dt: j an: 06095376 au: Hadian, Majid ti: Unit action and the geometric zero-divisor ideal graph. so: Commun. Algebra 40, No. 8, 2920-2931 (2012). py: 2012 pu: Taylor \& Francis, Philadelphia, PA la: EN cc: ut: geometric zero-divisor ideal graph; reduced schemes; unit action; zero-divisor ideal graph ci: li: doi:10.1080/00927872.2011.587489 ab: Summary: In this article, we introduce the zero-divisor ideal graph associated to a commutative ring with identity and study some of its properties. We also introduce a geometric quotient of this graph, extend it to reduced schemes, and study the interplay between scheme-theoretical properties of a scheme and graph-theoretical properties of the associated graph. rv: