The aim of this paper is to introduce the concept of classical weakly prime submodules
which is the generalization of the notion of weakly classical prime submodules to modules …

Most of the research on weakly prime and weakly 2-absorbing modules is for modules over
commutative rings. Only scatterd results about these notions with regard to non-commutative …

In this paper, we study the concepts of n-absorbing and weakly n-absorbing submodules of
modules over a commutative ring with non-zero unity which is a generalization of prime and …

All rings are commutative with $1\neq0 $. The purpose of this paper is to investigate the
concept of weakly $ n $-absorbing ideals generalizing weakly 2-absorbing ideals. We prove …

In this study, all rings are commutative with non-zero identity and all modules are considered
to be unital. Let $ M $ be a left $ R $-module. A proper submodule $ N $ of $ M $ is called an …

In this paper we work on weakly second submodules of a module over a noncommutative
ring. As a dualization of weakly prime submodules, some results are obtained by dualizing …

It is known that every semiprime ring is a subdirect sum of prime rings. This is a
consequence of the fact that every semiprime ideal is an intersection of prime ideals. We aim …

ON β-PRIME SUBMODULES Page 1 J. Indones. Math. Soc. Vol. 25, No. 02 (2019), pp. 128–
138. ON β-PRIME SUBMODULES Thawatchai Khumprapussorn Department of Mathematics …

In this paper all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a {\it classical primary submodule}, if for each …

In this paper we study weakly prime submodules of a module over a commutative ring with
identity. First, a number of results concerning weakly prime submodules are given. Second …