An ideal-based zero-divisor graph of non-commutative rings. (English) Zbl 1240.05131
Summary: This paper introduces an ideal-based zero-divisor graph of non-commutative rings, denoted by \(\Gamma_I (R)\). \(\Gamma_I (R)\) is a directed graph. The properties and possible structures of the graph are studied.
MSC:
05C20 | Directed graphs (digraphs), tournaments |