A generalization of annihilating ideal graph for modules
S Barzegar, S Safaeeyan, E Momtahan - Revista de la Unión …, 2023 - ojs.uns.edu.ar
We show that an $ R $-module $ M $ is noetherian (resp., artinian) if and only if its
annihilating submodule graph, $\mathbb {G}(M) $, is a non-empty graph and it has …
annihilating submodule graph, $\mathbb {G}(M) $, is a non-empty graph and it has …
Non-parallel graph of submodules of a module
N Shirali, M Shirali - Journal of Advanced Mathematical Modeling, 2024 - jamm.scu.ac.ir
A non-parallel submodules graph of M, denoted by G∦(M), is an undirected simple graph
whose vertices are in one-to-one correspondence with all non-zero proper submodules of M …
whose vertices are in one-to-one correspondence with all non-zero proper submodules of M …
FURTHER STUDIES OF THE PERPENDICULAR GRAPHS OF MODULES
M Shirali, S Safaeeyan - Journal of Algebraic Systems, 2023 - jas.shahroodut.ac.ir
In this paper we continue our study of perpendicular graph of modules, that was introduced
in\cite {Hokkaido}. Let $ R $ be a ring and $ M $ be an $ R $-module. Two modules $ A …
in\cite {Hokkaido}. Let $ R $ be a ring and $ M $ be an $ R $-module. Two modules $ A …