Title of article
Directed prime graph of non-commutative ring
Author/Authors
Kalita, Sanjoy Department of Mathematics - Gauhati University, Guwahati, Assam, India , Patra, Kuntala Department of Mathematics - Gauhati University, Guwahati, Assam, India
Pages
12
From page
1
To page
12
Abstract
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 non-commutative 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.
Keywords
Prime Graph , Non-commutative Ring , Directed Graph
Journal title
Journal of Algebraic Structures and Their Applications
Serial Year
2021
Record number
2605303
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