On zero-divisor graphs of commutative rings without identity

被引：7

作者：

Kalaimurugan, G. ^{[1
]}

Vignesh, P. ^{[1
]}

Chelvam, T. Tamizh ^{[2
]}

机构：

[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India

[2] Manonmaniam Sundaranar Univ, Dept Math, Tirunelveli 627012, Tamil Nadu, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 12期

关键词：

Zero-divisor graph; commutative ring without identity; genus; PLANAR; GENUS;

D O I：

10.1142/S0219498820502266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a finite commutative ring without identity. In this paper, we characterize all finite commutative rings without identity, whose zero-divisor graphs are unicyclic, claw-free and tree. Also, we obtain all finite commutative rings without identity and of cube-free order for which the corresponding zero-divisor graph is toroidal.

引用

页数：20

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