On intersection minimal ideal graph of a ring
نویسندگان
1 Department of Mathematics, Cotton University, Guwahati-781001, India
2 Department of Mathematics, Cotton University, Guwahati-781001, India
doi
10.22034/as.2024.18749.1566چکیده
For a ring $R$, the intersection minimal ideal graph, denoted by $ \wedge(R) $, is a simple undirected graph whose vertices are proper non-zero (right) ideals of $R$ and any two distinct vertices $I_{1}$ and $I_{2}$ are adjacent if and only if $ I_{1} \cap I_{2}$ is a minimal ideal of $R$. In this article, we explore connectedness, clique number, split character, planarity, independence number, domination number of $\wedge(R)$.