Let R be a commutative ring and M be a Noetherian R-module. The intersection graph of
annihilator submodules of M, denoted by GA (M) is an undirected simple graph whose …

‌Let $ R $ be a commutative ring and $ M $ be an $ R $-module‌. ‌The‌ ‌annihilator graph of $ M
$ ‌, ‌denoted by $ AG (M) $ is a simple undirected‌ ‌graph associated to $ M $ whose the set of …

Let R be a ring with identity and M be a unitary left R-module. The intersection graph of
submodules of M, denoted by G (M), is defined to be a graph whose vertices are in one to …

Let $ R $ be a commutative ring and $ M $ an‎‎ $ R $-module‎.‎ In this article‎,‎ we introduce a
new generalization of‎‎ the annihilating-ideal graph of commutative rings to modules‎.‎ The‎‎ …

Let R be a commutative ring and let M be an R-module. For a∈ R, Ann M (a)={m∈ M: am=
0} is said to be an annihilator submodule of M. In this paper, we study the property of being …

Let R be a ring with identity and M be a unitary left R-module. The co-intersection graph of
proper submodules of M, Ω (M) is an undirected simple graph whose vertices are non-trivial …

Let R be a ring with identity and M be a unitary left R-module. The complement of the
intersection graph of submodules of M, denoted by Γ (M), is defined to be a graph whose …

Let M be a module over a commutative ring R. The annihilating-submodule graph of M,
denoted by AG (M), is a simple graph in which a non-zero submodule N of M is a vertex if …

Let R be a commutative ring with unity, M be a unitary R-module and G a finite abelian group
(viewed as a Z-module). The main objective of this paper is to study properties of mod …

Let R be a ring with identity and M be a unitary left R-module. The intersection graph of an R-
module M, denoted by G (M), is defined to be the undirected simple graph whose vertices …