We consider a right nearring N and a module over N (known as, N-group). For an arbitrary
ideal (or N-subgroup) Ω of an N-group G, we define the notions Ω-superfluous, strictly Ω …

Let R be a commutative ring with nonzero identity, S⊆ R be a multiplicatively closed subset
of R, and M be a unital R‐module. In this article, we introduce the concepts of S …

Let be a ring with identity and be a submodule of a left-module. A submodule of is called-
small in denoted by, in case for any submodule of, implies. Submodule of is called semi-T …

S-系的D-多余子系 Page 1 山东大学学报(理学版)2023年11月第58卷第11期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.58ꎬ No.11ꎬ 2023 http:/ / lxbwk.njournal.sdu.edu.cn …

In this paper, we introduce hollow modules with respect to an arbitrary submodule. Let M be
a non-zero module and T be a submodule of M. We say that M is aT-hollow module if every …

Let M be an R-module, where R be a commutative; ring with identity. In this paper, we
defined a new kind of submodules, namely; ET-coessential and ET-Coclosed submodules of …

Let $ R $ be a commutative ring with identity and let M be an (left) unitary $ R $-module. In
this paper, we introduce a detail and study the concept of e-small compressible as a …

Let 𝑅 be a commutative ring with 1 and 𝑀 be left unitary 𝑅− 𝑚𝑜𝑑𝑢𝑙𝑒. In this paper we
introduced and studied concept of semi-small compressible module (a 𝑅− 𝑚𝑜𝑑𝑢𝑙𝑒 𝑀 is …

The analysis of modules via their ring of homomorphisms has been of great interest in
module theory. In this paper, we present the concept of γ-weakly Hopfian. Then we look at …

In this sheet, we give a definition" Essential β-hollow module (Eβ-HM) and Essential β-lifting
module (Eβ-LM)". A module M is named Essential β-hollow module (Eβ-HM), if∀ X≤ M …