Zero-Divisor Graph with Respect to an Ideal

By H. Maimani, Mohammad Reza Pournaki, Siamak Yassemi. 2006

65 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5ac2750b448ad9258258afa94d9dc87caecef785

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Sandra Spiroff
2. Sean Sather-Wagstaff
3. Laura Sheppardson
4. J. Coykendall
5. Cameron Wickham
6. Thangaraj Asir
7. T. Tamizh Chelvam
8. David F. Anderson

In Geometry and Topology

1. Sandra Spiroff
2. Sean Sather-Wagstaff
3. Laura Sheppardson
4. J. Coykendall
5. Cameron Wickham
6. Thangaraj Asir
7. T. Tamizh Chelvam
8. David F. Anderson

Citations in the corpus

• Classification of Rings with Genus One Zero-Divisor Graphs (2008, background): “In [17], Redmond introduced the notion of an ideal based zero-divisor graph, generalizing the notion of Γ(R) and this idea is pursued further in [12].”
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors (2007, background): “This graph has some advantages over the earlier zero divisor graph R in [2–5], or subsequent zero divisor graph determined by an ideal of R in [8, 11].”
• On Zero Divisor Graphs (2012, background): “S/: the equivalence of r and r 0 means that AnnR.r/ D AnnR.r 0/, so the flatness of ' implies that AnnS .”