Title

Rings whose zero-divisor graphs have positive genus

Abstract

It is shown that, for a fixed positive integer g, there are finitely many isomorphism classes of rings whose zero-divisor graph has genus g. The proof can then be modified to yield an analogous result for nonorientable genus.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1016/j.jalgebra.2008.09.040

Publication Date

2009

Journal Title

Journal of Algebra

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