Some Properties of S‐Semiannihilator Small Submodules and S‐Small Submodules with respect to a Submodule

F Farzalipour, S Rajaee, P Ghiasvand - Journal of Mathematics, 2024 - Wiley Online Library
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 …

Essential submodules relative to a submodule

S Rajaee - Journal of Algebra and Related Topics, 2023 - jart.guilan.ac.ir
‎ In this paper‎,‎ our aim is to introduce and study the essential submodules of an $ R $-
module $ M $ relative to an arbitrary submodule $ T $ of $ M $‎.‎ Let $ T $ be an arbitrary …

On Almost‎ $‎ S‎ $‎-prime submodules

F Farzalipour, R Ghaseminejad… - Journal of Algebra and …, 2023 - jart.guilan.ac.ir
‎‎ Let $ R $ be a commutative ring with non-zero identity, $ S\subseteq R $ be a
multiplicatively closed subset of $ R $ and let $ M $ be an $ R $-module. A submodule $ N …

[PDF][PDF] ON THE MODULES HAVING PROPER S-ESSENTIAL SUBMODULES

P Sangchan, S Baupradist - icicel.org
In this paper, we study S-essential submodules which are a generalization of essential
submodule of modules. Besides giving many examples and properties of S-essential …