Zero-divisor graphs of direct products of commutative rings

被引：0

作者：

Axtell, M. ^{[1
]}

Stickles, J.

Warfel, J.

机构：

[1] Wabash Coll, Dept Math & Comp Sci, Crawfordsville, IN 47933 USA

[2] Univ Evansville, Dept Math, Evansville, IN 47722 USA

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2006年 / 32卷 / 04期

关键词：

zero divisor; commutative ring;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We recall several results of zero divisor graphs of commutative rings. We then examine the preservation of diameter and girth of the zero divisor graph of direct products of commutative rings.

引用

页码：985 / 994

页数：10

共 9 条

[1] BECK COLORING OF A COMMUTATIVE RING
ANDERSON, DD
NASEER, M
[J]. JOURNAL OF ALGEBRA, 1993, 159 (02) : 500 - 514
[2] The zero-divisor graph of a commutative ring
Anderson, DF
Livingston, PS
[J]. JOURNAL OF ALGEBRA, 1999, 217 (02) : 434 - 447
[3] AXTELL M, IN PRESS J PURE APPL
[4] AXTELL M, IN PRESS COMM ALG
[5] COLORING OF COMMUTATIVE RINGS
BECK, I
[J]. JOURNAL OF ALGEBRA, 1988, 116 (01) : 208 - 226
[6] DeMeyer F., 2002, INT J COMMUTATIVE RI, V1, P93
[7] ZERO DIVISORS AND NILPOTENT ELEMENTS IN POWER SERIES RINGS
FIELDS, DE
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 27 (03) : 427 - +
[8] McCoy N. H., 1942, Amer. Math. Monthly, V49, P286, DOI [10.1080/00029890.1942.11991226, DOI 10.1080/00029890.1942.11991226]
[9] Cycles and symmetries of zero-divisors
Mulay, SB
[J]. COMMUNICATIONS IN ALGEBRA, 2002, 30 (07) : 3533 - 3558

← 1 →