Classification of rings with genus one zero-divisor graphs

被引:54
作者
Wickham, Cameron [1 ]
机构
[1] Missouri State Univ, Dept Math, Springfield, MO 65897 USA
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
收藏
页码:325 / 345
页数:21
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