S-2-Absorbing Second Submodules 1 Introduction Page 1 Journal of Mathematical Extension
Vol. 16, No. 8, (2022) (3)1-24 URL: https://doi.org/10.30495/JME.2022.1690 ISSN: 1735-8299 …

Suppose that R is a commutative ring with 1≠ 0. In this paper, we introduce the concept of 2-
absorbing ideal which is a generalisation of prime ideal. A nonzero proper ideal I of R is …

Let R be a commutative ring with identity. A proper submodule N of an R-module M will be
called prime [resp. n-almost prime], if for r∈ R and a∈ M with ra∈ N [resp. ra∈ N\(N: M) n …

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

Let R be a commutative ring with non-zero identity, S⊆ R a multiplicatively closed subset of
R and M a unital R-module. In this paper, we introduce and study the concept of S-1 …

Let R be a commutative ring with 1≠ 0. The notions of 2-absorbing ideal and 2-absorbing
primary ideal are introduced by Ayman Badawi as generalizations of prime ideal and …

Let 𝐺 be a module over a commutative ring Ɍ with identity. A proper 𝑠ubmodule 𝛢of 𝐺 is
Strongly Pseudo Nearly_2_Absorbing (denoted by STPN_2_AG) 𝑠ubmodule, if for 𝑎, 𝑏∈ Ɍ …

On β-Absorbing Submodules 1 Introduction Page 1 International Journal of Mathematics and
Computer Science, 15(2020), no. 3, 809–820 M CS On β-Absorbing Submodules Thawatchai …

Let R be a commutative ring with identity and M be an R-module. A non-zero submodule N
of M is said to be a sum 2-irreducible submodule if whenever N= H_1+ H_2+ H_3 N= H 1+ H …

Let n≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-
module. In this paper we study the (n− 1, n)-weakly prime submodules, ie, a proper …