On 2-Absorbing Submodules over Commutative Rings Page 1 ISSN 1995-0802,
Lobachevskii Journal of Mathematics, 2015, Vol. 36, No. 1, pp. 58–64. c © Pleiades …

Let $ M $ be a module over a commutative ring $ R. $ A proper submodule $ N $ of $ M $ is
called weakly $2 $-absorbing, if for $ r, s\in R $ and $ x\in M $ with $0\neq rsx\in N, $ either …

Let R be a commutative ring with 1≠ 0, n be a positive integer and M be an R-module. In
this paper, we introduce the concept of weakly quasi n-absorbing submodule which is a …

Let R be a commutative ring with identity and M be a unitary R-module, In this paper we
introduce the concept of almost 2-absorbing primary submodules as a new generalization of …

Let $ R $ be a commutative ring and let $ I $ be an ideal of $ R $. In this paper, we will
introduce the notions of 2-absorbing $ I $-prime and 2-absorbing $ I $-second submodules …

arXiv:1610.00565v1 [math.AC] 3 Oct 2016 Page 1 arXiv:1610.00565v1 [math.AC] 3 Oct 2016 1
2-ABSORBING AND STRONGLY 2-ABSORBING SECONDARY SUBMODULES OF MODULES …

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 and M an R-module. In this article, we introduce the concept of
S-2-absorbing submodule. Suppose that S⊆ R is a multiplicatively closed subset of R. A …

H. Ansari-Toroghy, F. Farshadifar, and S. Maleki-Roudposhti abstract: In this paper, we
introduce the concepts of n-absorbing and strongly n-absorbing second submodules as a …