Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 125-130.

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

  

  1. 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;

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

CLC Number: