Directed prime graph of non-commutative ring
نویسندگان
1 Department of Mathematics, Gauhati University, Guwahati- 781014, Assam, India
2 Department of Mathematics, Gauhati University, Guwahati- 781014, Assam, India
doi
10.22034/as.2021.1963چکیده
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.
