Classification of Rings with Genus One Zero-Divisor Graphs

By Cameron Wickham. 2008

72 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/eb74db8288502409b459ee7dc5c5ed4927571af0

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. Thangaraj Asir
2. T. Tamizh Chelvam
3. Cameron Wickham
4. Hsin-Ju Wang
5. Sandra Spiroff
6. H. Maimani
7. Siamak Yassemi
8. Hung-Jen Chiang-Hsieh

In Geometry and Topology

1. Thangaraj Asir
2. T. Tamizh Chelvam
3. Cameron Wickham
4. Hsin-Ju Wang
5. Sandra Spiroff
6. H. Maimani
7. Siamak Yassemi
8. Hung-Jen Chiang-Hsieh

Citations in the corpus

• On the Genus of the Total Graph of a Commutative Ring (2013, methodology): “Toroidal zero divisor graphs were classified independently by Wang [19] and Wickham [22].”
• Commutative rings with toroidal zero-divisor graphs (2007, result): “In [ 21 ], Wickham independently proved some of the same results that appear in section three of this paper.”
• On Zero Divisor Graphs (2012, background): “Wickham [36] is another researcher who has studied zero divisor graphs of genus one.”
• Rings whose total graphs have genus at most one (2010, background): “In [13] and [16] the rings whose zero-divisor graph has genus one are studied.”