A module M is called ss-semilocal if every submodule U of M has a weak supplement V in M
such that U∩ V is semisimple. In this paper, we provide the basic properties of ss-semilocal …

Let S be a commutative ring with identity, and A is an S-module. This paper introduced an
important concept, namely strongly maximal submodule. Some properties and many results …

The present study introduces the concept of J-pure submodules as a generalization of pure
submodules. We study some of its basic properties and by using this concept we define the …

In this paper, we investigate interior operations on submodules and introduce a new interior
operation by using a certain submodule class. Let R be a commutative ring with identity and …

‎ In this paper‎,‎ we will introduce the concept of classical (resp‎.‎ strongly classical) 2-absorbing
second submodules of modules over a commutative ring as a generalization of 2-absorbing …

Let R be a commutative ring with a nonzero identity and let M be a unitary R-module. We
introduce the concepts of 2-absorbing and weakly 2-absorbing submodules of M and give …

This paper presents two generalizations, one of prime submodules called S (N)− locally
prime submodules and the other of weakly prime submodules called S (N)− weakly prime …

In this paper, we introduce the notion of $ S $-$ M $-cyclic submodules, which is a
generalization of the notion of $ M $-cyclic submodules. Let $ M, N $ be right $ R $-modules …

The goal of this research is to introduce the concepts of Large-coessential submodule and
Large-coclosed submodule, for which some properties are also considered. Let M be an R …