In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel
ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring …

Let R be a commutative ring with identity and let M be a unital left R-module. A. Tercan
introduced the following concept. An R-module M is called a CLS-module if every y-closed …

Throughout this paper R represents commutative ring with identity, and M is a unitary left R-
module. The purpose of this paper is to study a new concept,(up to our knowledge), named …

Throughout this paper R represents an associative ring with identity and M is unitary right R-
module, the purpose of this paper is to study a new concept, named s-closed submodules. It …

Let $ R $ be any ring and let $ M $ be any right $ R $-module. $ M $ is called hollow-lifting if
every submodule $ N $ of $ M $ such that $ M/N $ is hollow has a coessential submodule …

A submodule Ϝ of an R-module Ε is called small in Ε if whenever F+ W= E, for some
submodule W of Ε, implies W= E. In this paper, we introduce the notion of Ζ-small …

The aim of this study is to present the concept of closed-small submodule and closed-hollow
module as generalization of small and hollow concepts respectively. As evidence, attributes …

In this paper, we introduce some new results about the relationship between two concepts
namely singular and essential and c-ring. We prove that if any module 𝑊 is a direct sum of …

Let R be a ring with identity and Ą a left R-module. In this article, we introduce new
generalizations of compressible and prime modules, namely s-compressible module and s …