非交换环的基于理想的零因子图

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 125-130.

非交换环的基于理想的零因子图

1. Yuan'an No.1 Senior High School 2. Department of Mathematics, Guangxi Teacher's College

收稿日期:2007-09-20 出版日期:2011-03-30 发布日期:2023-05-12
作者简介:LI Yun-hui(1977- ), female, native of Yichang, Hubei, a teacher of Yuan’an Senior Middle School, M.S. ., engages in commutative algebra; TANG Gao-hua(1965- ), male, native of Guilin, Guangxi, a professor of Guangxi Teacher’s College, Ph.D., engages in homological algebra.
基金资助:
Supported by Guangxi Natural Sciences Foundation(0575052,0640070)； Supported by Innovation Project of Guangxi Graduate Education(2006106030701M05)； Supported Scientific Research Foun-dation of Guangxi Educational Committee；

Ideal-based Zero-divisor Graphs of Non-commutative Rings

1. Yuan'an No.1 Senior High School 2. Department of Mathematics, Guangxi Teacher's College

Received:2007-09-20 Online:2011-03-30 Published:2023-05-12
About author:LI Yun-hui(1977- ), female, native of Yichang, Hubei, a teacher of Yuan’an Senior Middle School, M.S. ., engages in commutative algebra; TANG Gao-hua(1965- ), male, native of Guilin, Guangxi, a professor of Guangxi Teacher’s College, Ph.D., engages in homological algebra.
Supported by:
Supported by Guangxi Natural Sciences Foundation(0575052,0640070)； Supported by Innovation Project of Guangxi Graduate Education(2006106030701M05)； Supported Scientific Research Foun-dation of Guangxi Educational Committee；

摘要/Abstract

摘要： This paper introduces an ideal-boyed zero-divisor graph of non-commutative rings, denoted ΓI(R).ΓI(R) is a directed graph. The properties and possible structures of the graph is studied.

关键词: non-commutative ring, ideal-based, zero-divisor graph, diameter

Abstract: This paper introduces an ideal-boyed zero-divisor graph of non-commutative rings, denoted ΓI(R).ΓI(R) is a directed graph. The properties and possible structures of the graph is studied.

Key words: non-commutative ring, ideal-based, zero-divisor graph, diameter

中图分类号:

O153.3

李云慧, 唐高华. 非交换环的基于理想的零因子图[J]. 数学季刊, 2011, 26(1): 125-130.

LI Yun-hui, TANG Gao-hua. Ideal-based Zero-divisor Graphs of Non-commutative Rings [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 125-130.