Commutative rings and zero-divisor semigroups of regular polyhedrons

被引:0
作者
Tang, Gaohua [1 ]
Su, Huadong [1 ]
Wei, Yangjiang [1 ]
机构
[1] Guangxi Teachers Educ Univ, Dept Math, Nanning 530023, Peoples R China
来源
RING THEORY 2007, PROCEEDINGS | 2009年
关键词
Zero-divisor graph; zero-divisor semigroup; commutative ring; regular polyhedron; GRAPHS;
D O I
10.1142/9789812818331_0017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study commutative rings and commutative zero-divisor semigroups determined by graphs. We have completely determined the commutative rings and commutative zero-divisor semigroups of all regular polyhedrons.
引用
收藏
页码:200 / 209
页数:10
相关论文
共 9 条
[1]   When a zero-divisor graph is planar or a complete r-partite graph [J].
Akbari, S ;
Maimani, HR ;
Yassemi, S .
JOURNAL OF ALGEBRA, 2003, 270 (01) :169-180
[2]   The zero-divisor graph of a commutative ring [J].
Anderson, DF ;
Livingston, PS .
JOURNAL OF ALGEBRA, 1999, 217 (02) :434-447
[3]   Zero divisor graphs of semigroups [J].
DeMeyer, F ;
DeMeyer, L .
JOURNAL OF ALGEBRA, 2005, 283 (01) :190-198
[4]   The zero-divisor graph of a commutative semigroup [J].
DeMeyer, FR ;
McKenzie, T ;
Schneider, K .
SEMIGROUP FORUM, 2002, 65 (02) :206-214
[5]  
WILSON R. J., 1996, Introduction to Graph Theory, V4th
[6]   Zero-divisor semigroups and some simple graphs [J].
Wu, Tongsuo ;
Lu, Dancheng .
COMMUNICATIONS IN ALGEBRA, 2006, 34 (08) :3043-3052
[7]   On directed zero-divisor graphs of finite rings [J].
Wu, TS .
DISCRETE MATHEMATICS, 2005, 296 (01) :73-86
[8]  
WU TS, ALG C IN PRESS
[9]  
WU TS, SEMIGROUP F IN PRESS