A generalization of the zero-divisor graph for modules
نویسندگان
چکیده
منابع مشابه
THE ZERO-DIVISOR GRAPH OF A MODULE
Let R be a commutative ring with identity and M an R-module. In this paper, we associate a graph to M, sayΓ(RM), such that when M=R, Γ(RM) coincide with the zero-divisor graph of R. Many well-known results by D.F. Anderson and P.S. Livingston have been generalized for Γ(RM). We Will show that Γ(RM) is connected withdiam Γ(RM)≤ 3 and if Γ(RM) contains a cycle, then Γ(RM)≤4. We will also show tha...
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ژورنال
عنوان ژورنال: Publications de l'Institut Mathematique
سال: 2019
ISSN: 0350-1302,1820-7405
DOI: 10.2298/pim1920039n