Classification of Rings with Genus One Zero-Divisor Graphs
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.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1080/00927870701713089
Keywords
finite commutative ring, zero divisor, zero-divisor graph
Publication Date
2008
Recommended Citation
Wickham, Cameron. "Classification of rings with genus one zero-divisor graphs." Communications in Algebra 36, no. 2 (2008): 325-345.
Journal Title
Communications in Algebra
COinS
