Minimal Intersection Graph of Submodules of Modules
DOI:
https://doi.org/10.32792/jeps.v15i4.721Abstract
Let be a commutative ring with , and be an -module. The minimal intersection graph of , denoted by is a simple undirected graph whose vertices are proper non-zero submodules of and any two distinct vertices and are adjacent if and only if be an minimal (= simple) submodule of . In this article, we explore connectedness, clique number, split character, planarity, independence number and domination number of .
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