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
收藏
页码：1207 / 1213
页数：7
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