In this paper, we introduce a new class of modules satisfying S-dccr (S-dccr^ ⋆)⋆) condition
which is a generalization of S-artinian modules. Let A $ Abeacommutativeringwith 0≠1$ 0≠ …

Let R be a commutative ring with unity, S a multiplicative subset of R, and M an R-module. In
this article, we investigate S-Noetherian modules. We give an S-version of Eakin–Nagata …

In this paper, we introduce and study the concept of strongly dccr⋆ modules. Strongly dccr⋆
condition generalizes the class of Artinian modules and it is stronger than dccr⋆ condition …

Let M be a module over a commutative ring A. M is said to satisfy (accr)(resp.(accr*)) if the
ascending chain of submodules of the form N: IJN: I2 J ĮĮĮ terminates for every submodule N …

The study of modules (rings) satisfying DCC on certain submodules which introduced in [4]
is continued and more result concerning these modules is obtained. Also the relationship …

A module X over a commutative ring A is called S-Artinian, where S is a given
multiplicatively closed subset of A, if every descending chain of submodules of X is S …

The rings considered in this article are commutative with identity. Modules are assumed to
be unitary. Let R be a ring and let S be a multiplicatively closed subset of R. We say that a …

A module satisfying the descending chain condition on cyclic submodules is called
coperfect. The class of coperfect modules lies properly between the class of locally artinian …

Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we
introduce the concept of r-Artinian modules which is a new generalization of Artinian …

Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we
introduce the concept of r-Artinian modules which is a new generalization of Artinian …