Finite Non-Nilpotent Rings with Complete Compressed Zero-Divisor Graphs

被引:3
作者
Monastyreva, A. S. [1 ]
机构
[1] Altai State Univ, Dept Math & Informat Technol, Barnaul 656000, Altai Region, Russia
关键词
finite ring; zero-divisor; compressed zero-divisor graph; LOCAL-RINGS;
D O I
10.1134/S1995080220090206
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we describe such finite non-nilpotent ring R that the compressed zerodivisor graph Gamma(similar to)(R) is complete with loops.
引用
收藏
页码:1666 / 1671
页数:6
相关论文
共 7 条
[1]   The zero-divisor graph of a commutative ring [J].
Anderson, DF ;
Livingston, PS .
JOURNAL OF ALGEBRA, 1999, 217 (02) :434-447
[2]   COLORING OF COMMUTATIVE RINGS [J].
BECK, I .
JOURNAL OF ALGEBRA, 1988, 116 (01) :208-226
[3]   The Zero Divisor Graphs of Commutative Local Rings of Order p4 and p5 [J].
Bloomfield, Nathan .
COMMUNICATIONS IN ALGEBRA, 2013, 41 (02) :765-775
[4]   LOCAL RINGS WITH GENUS TWO ZERO DIVISOR GRAPH [J].
Bloomfield, Nathan ;
Wickham, Cameron .
COMMUNICATIONS IN ALGEBRA, 2010, 38 (08) :2965-2980
[5]  
Elizarov V. P., 2006, FINITE RINGS PRINCIP
[6]  
Redmond S. P., 2002, INT J COMMUT RINGS, V1, P203
[7]   A ZERO DIVISOR GRAPH DETERMINED BY EQUIVALENCE CLASSES OF ZERO DIVISORS [J].
Spiroff, Sandra ;
Wickham, Cameron .
COMMUNICATIONS IN ALGEBRA, 2011, 39 (07) :2338-2348