شماره ركورد كنفرانس :
3806
عنوان مقاله :
Finite compressed zero divisor graphs and Goldie rings
پديدآورندگان :
Dorbidi H. R hr dorbidi@ujiroft.ac.ir Department of Basic Sciences, University of Jiroft, Jiroft, Iran
كليدواژه :
Associated prime ideal , Girth , Goldie ring.
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گراف و تركيبات جبري
چكيده فارسي :
In this paper we study the compressed zero divisor graph of a ring R, denoted
by E(R). We give a simple proof that the girth of this graph is three if it
is finite. Also we give a complete classification of finite graphs which are the
compressed zero divisor graphs of reduced rings by using Goldie’s theorem.
