The 6 th Algebraic combinatorics conferance of Iran , 2013-10-30

Title : ( On the toroidal and projactive Jacobson graphs‎ )

Authors: Khadijeh Ahmad Javaheri , اتوسا پارسا پور , مژگان افخمی گلی , Kazem Khashyarmanesh ,

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Abstract

Let R be a commutative ring with non-zero identity and J(R) be the Jacobson radical of R. The Jacobson graph of R denoted by J_R is a graph with vertex-set R\J(R) such that two distinct vertices a and b in R\J(R) are adjacent if and only if 1-ab is not a unit of R. I this talk we characterize all finite commutative rings R such that the Jacobson graph J_R are toroidal.

Keywords

, Commutative ring, Jacobson graph , projective graph , toroidal graph