ON COMPRESSED ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE LOCAL RINGS

被引：1

作者：

Zhuravlev, E., V ^{[1
]}

Filina, O. A. ^{[1
]}

机构：

[1] Altai State Univ, 61 Lenina Ave, Barnaul 656049, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2021年 / 18卷 / 02期

关键词：

finite ring; local ring; zero-divisor graph; PLANAR; VARIETIES;

D O I：

10.33048/semi.2021.18.115

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the compressed zero-divisor graphs of a commutative finite local rings R of characteristic p with Jacobson radical J such that J(4) = (0), F = R/J congruent to GF(p(r)) and dim(F) J/J(2) = 2, dim(F) J(2)/J(3) = 2, dim(F) J(3) = 1 or dim(F) J/J(2) = 3, dim(F) J(2)/J(3) = 1, dim(F) J(3) = 1

引用

页码：1531 / 1555

页数：25

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