On Finite Rings in Which Zero-Divisor Graphs Satisfy the Dirac's Condition

被引：5

作者：

Kuzmina, A. S. ^{[1
]}

Maltsev, Yu. N. ^{[1
]}

机构：

[1] Altai State Pedag Univ, Molodezhnaya ul 55, Barnaul 656031, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2015年 / 36卷 / 04期

关键词：

Associative ring; finite ring; zero-divisor graph; the Dirac's theorem;

D O I：

10.1134/S1995080215040071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study finite rings such that their zero-divisor graphs satisfy the Dirac's condition. In particular, we give full description of finite rings with identity such that their zero-divisor graphs satisfy the Dirac's condition.

引用

页码：375 / 383

页数：9

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