PROJECTIVE TOTAL GRAPHS OF COMMUTATIVE RINGS

被引：8

作者：

Khashyarmanesh, Kazem ^{[1
]}

Khorsandi, Mahdi Reza ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Iran

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 04期

关键词：

Total graph; projective graph; crosscap number; zerodivisor graph; ZERO-DIVISOR GRAPH; GENUS; CLASSIFICATION; PLANAR;

D O I：

10.1216/RMJ-2013-43-4-1207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T(Gamma(R)) be the total graph of a commutative ring R, that is, a graph with all elements of R as vertices and two distinct vertices a and b are adjacent if and only if a + b is a zero-divisor on R. In this paper, we classify all finite rings R whose total graphs T(Gamma(R)) are projective.

引用

页码：1207 / 1213

页数：7

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