Loading...

Unit action and the geometric zero-divisor ideal graph

Hadian, M ; Sharif University of Technology | 2012

260 Viewed
  1. Type of Document: Article
  2. DOI: 10.1080/00927872.2011.587489
  3. Publisher: T&F , 2012
  4. Abstract:
  5. 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
  6. Keywords:
  7. Geometric zero-divisor ideal graph ; Reduced schemes ; Unit action ; Zero-divisor ideal graph
  8. Source: Communications in Algebra ; Volume 40, Issue 8 , Aug , 2012 , Pages 2920-2931 ; 00927872 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.1080/00927872.2011.587489