Zero-Divisor Graphs of Laurent Polynomials and Laurent Power Series

被引：3

作者：

Khairnar, Anil ^{[1
]}

Waphare, B. N. ^{[2
]}

机构：

[1] Abasaheb Garware Coll, Dept Math, Pune 411004, Maharashtra, India

[2] Savitribai Phule Pune Univ, Dept Math, Ctr Adv Studies Math, Pune 411007, Maharashtra, India

来源：

ALGEBRA AND ITS APPLICATIONS, ICAA 2014 | 2016年 / 174卷

关键词：

Zero-divisor graphs; Laurent polynomials; Laurent power series; COMMUTATIVE RINGS;

D O I：

10.1007/978-981-10-1651-6_21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we examine the preservation of diameter and girth of the zero-divisor graph under extension to Laurent polynomial and Laurent power series rings.

引用

页码：345 / 349

页数：5

共 6 条

[1] The zero-divisor graph of a commutative ring [J].

Anderson, DF ;

Livingston, PS .

JOURNAL OF ALGEBRA, 1999, 217 (02) :434-447

[2] Zero-divisor graphs of polynomials and power series over commutative rings [J].

Axtell, M ;

Coykendall, J ;

Stickles, J .

COMMUNICATIONS IN ALGEBRA, 2005, 33 (06) :2043-2050

[3] COLORING OF COMMUTATIVE RINGS [J].

BECK, I .

JOURNAL OF ALGEBRA, 1988, 116 (01) :208-226

[4]

McCoy N. H., 1942, Amer. Math. Monthly, V49, P286

[5] Armendariz rings [J].

Rege, MB ;

Chhawchharia, S .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1997, 73 (01) :14-17

[6]

[ZHANG Mianmian 张棉棉], 2006, [数学研究与评论, Journal of Mathematical Research and Exposition], V26, P685

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