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
@inproceedings{paperid:1040112,
author = {Ahmad Javaheri, Khadijeh and اتوسا پارسا پور and مژگان افخمی گلی and Khashyarmanesh, Kazem},
title = {On the toroidal and projactive Jacobson graphs},
booktitle = {The 6 th Algebraic combinatorics conferance of Iran},
year = {2013},
location = {بابلسر, IRAN},
keywords = {Commutative ring; Jacobson graph ; projective graph ; toroidal graph},
}
%0 Conference Proceedings
%T On the toroidal and projactive Jacobson graphs
%A Ahmad Javaheri, Khadijeh
%A اتوسا پارسا پور
%A مژگان افخمی گلی
%A Khashyarmanesh, Kazem
%J The 6 th Algebraic combinatorics conferance of Iran
%D 2013
