Classification of rings with genus one zero-divisor graphs

被引：55

作者：

Wickham, Cameron ^{[1
]}

机构：

[1] Missouri State Univ, Dept Math, Springfield, MO 65897 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 02期

关键词：

finite commutative ring; zero divisor; zero-divisor graph;

D O I：

10.1080/00927870701713089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：325 / 345

页数：21

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