Graphs of commutatively closed sets

被引：6

作者：

Abdi, M. ^{[1
]}

Leroy, A. ^{[2
]}

机构：

[1] Shahrood Univ Technol, Dept Math, Shahrood, Iran

[2] Univ Artois, Lab Math Lens, UR 2462, F-62300 Lens, France

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 21期

关键词：

Commutatively closed sets; graphs; diamete; semisimple algebras;

D O I：

10.1080/03081087.2021.1975621

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of some associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively closed subsets of a ring with the help of graph theory. In particular, we compute the diameter of matrix rings and Artinian semisimple algebras.

引用

页码：6965 / 6977

页数：13

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