شماره ركورد كنفرانس :
3806
عنوان مقاله :
On a new kind of graph associated with commutative ring
پديدآورندگان :
Soleymanzadeh B b.soleymanzadeh@mail.kntu.ac.ir K. N. Toosi University of Technology, Tehran, , Nikmehr M. J. Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
كليدواژه :
The prime ideals intersection graph of a ring , Clique number , Zero dimensional ring.
عنوان كنفرانس :
دهمين كنفرانس ملي نظريه گراف و تركيبات جبري
چكيده فارسي :
Let R be a commutative ring with unity. In this note, we introduce a new
kind of graph on the ring R, namely, the prime ideals intersection graph of R,
denoted by Gp(R) on the base of prime ideals of R. In this work we investigate
some properties of this graph such as connectedness, diameter and girth.
