directed prime graph of noncommutative ring





نویسنده

patra kuntala ,kalita sanjoy

منبع

journal of algebraic structures and their applications  2021  دوره : 8  شماره : 1  صفحه:1 12

چکیده

Prime graph of a ring r is a graph whose vertex set is the whole set r any any two elements x and y of r are adjacent in the graph if and only if xry = 0 or yrx = 0. prime graph of a ring is denoted by pg(r). directed prime graphs for noncommutative rings and connectivity in the graph are studied in the present paper. the diameter and girth of this graph are also studied in the paper.

کلیدواژه

directed graph ,noncommutative ring ,prime graph

آدرس

gauhati university, department of mathematics, india, gauhati university, department of mathematics, india

پست الکترونیکی

sanjoykalita1@gmail.com




