Classification of the Toroidal Jacobson Graphs

被引：3

作者：

Amraei, H. ^{[1
]}

Maimani, H. R. ^{[1
,2
]}

Pournaki, M. R. ^{[2
,3
]}

Zaeembashi, A. ^{[1
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Math Sect, Dept Basic Sci, POB 16785-163, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran

[3] Sharif Univ Technol, Dept Math Sci, POB 11155-9415, Tehran, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2018年 / 41卷 / 01期

关键词：

Finite commutative ring; Jacobson graph; Genus; COMMUTATIVE RING;

D O I：

10.1007/s40840-015-0294-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a finite commutative ring with nonzero identity and denote its Jacobson radical by J(R). The Jacobson graph of R is the graph in which the vertex set is R\J(R) , and two distinct vertices x and y are adjacent if and only if 1 - xy is not a unit in R. In this paper, up to isomorphism, we classify the rings R whose Jacobson graphs are toroidal.

引用

页码：321 / 334

页数：14

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