Classification of Rings with Genus One Zero-Divisor Graphs |
| |
| Authors: | Cameron Wickham |
| |
| Affiliation: | 1. Department of Mathematics , Missouri State University , Springfield, Missouri, USA cwickham@missouristate.edu |
| |
| Abstract: | This paper investigates properties of the zero-divisor graph of a commutative ring and its genus. In particular, we determine all isomorphism classes of finite commutative rings with identity whose zero-divisor graph has genus one. |
| |
| Keywords: | Finite commutative ring Zero divisor Zero-divisor graph |
|
|
