In this study, we aim to introduce the concept of classical 1-absorbing prime submodules of
a nonzero unital module $ M $ over a commutative ring $ A $ with unity. A proper submodule …

Over the years, prime submodules and their generalizations have played a pivotal role in
commutative algebra, garnering considerable attention from numerous researchers and …

In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital
module $ M $ over a commutative ring $ R $ having a nonzero identity. A proper submodule …

Over the years, prime submodules and their generalizations have played a pivotal role in
commutative algebra, garnering considerable attention from numerous researchers and …

In this paper, all rings are commutative with nonzero identity. Let M be an R-module. We
introduce the concept of phi classical 1-absorbing prime submodules. A proper submodule …

In this article, a new radical formula for a module over a commutative ring is introduced by
constructing a generalization of radical and envelope and defining an (e, r)-radical formula …

In this research, we studied weakly endoprime module, which is a development of weakly
prime module by reviewing its fully invariant submodule. This is similar to the development …

Let $ R $ and $ S $ be commutative rings and $ M $ an $(R, S) $-module. A proper $(R, S) $-
submodule $ P $ of $ M $ is called left weakly jointly prime if for each $(R, S) $-submodule …