On weakly S-prime submodules
HA Khashan, EY Celikel - arXiv preprint arXiv:2110.14639, 2021 - arxiv.org
Let $ R $ be a commutative ring with a non-zero identity, $ S $ be a multiplicatively closed
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …
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 …
multiplicatively closed subset of $ R $ and let $ M $ be an $ R $-module. A submodule $ N …
On weakly S-primary submodules
EY Celikel, HA Khashan - arXiv preprint arXiv:2203.14701, 2022 - arxiv.org
Let $ R $ be a commutative ring with a non-zero identity, $ S $ be a multiplicatively closed
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …
subset of $ R $ and $ M $ be a unital $ R $-module. In this paper, we define a submodule …
S-prime and S-weakly prime submodules
EA Ugurlu - arXiv preprint arXiv:2005.08733, 2020 - arxiv.org
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 …
to be unital. Let $ M $ be a left $ R $-module. A proper submodule $ N $ of $ M $ is called an …
Some remarks on S-strongly prime submodules
F Farzalipour - São Paulo Journal of Mathematical Sciences, 2024 - Springer
Let R be a commutative ring with non-zero identity, S⊆ R be a multiplicatively closed subset
of R and M be an R-module. A submodule N of M with (N: RM)∩ S=∅ is said to be S …
of R and M be an R-module. A submodule N of M with (N: RM)∩ S=∅ is said to be S …
[引用][C] Generalizations of -semiprime submodules
P Ghiasvand, F Farzalipour - Asian-European Journal of …, 2023 - World Scientific
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 the concepts of S-almost semiprime …
R and M a unital R-module. In this paper, we introduce the concepts of S-almost semiprime …
[PDF][PDF] A generalization of pure submodules
F Farshadifar - Journal of Algebra and Related Topics, 2020 - jart.guilan.ac.ir
Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. The goal of this work is to introduce the notion of $ S $-pure …
and $ M $ be an $ R $-module. The goal of this work is to introduce the notion of $ S $-pure …
S‐Semiprime Submodules and S‐Reduced Modules
This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …
-Weakly second submodules
IE Wijayanti, DA Yuwaningsih… - Asian-European Journal of …, 2019 - World Scientific
We introduce the dual notions of S (N)-weakly prime submodules, that is, S (0)-weakly
second submodules in a commutative ring with identity. We investigate the properties of S …
second submodules in a commutative ring with identity. We investigate the properties of S …
[PDF][PDF] On S-primary submodules
H Ansarı-toroghy, SS Pourmortazavi - … Electronic Journal of Algebra, 2022 - dergipark.org.tr
Let $ R $ be a commutative ring with identity, $ S $ a multiplicatively closed subset of $ R $,
and $ M $ be an $ R $-module. In this paper, we study and investigate some properties of …
and $ M $ be an $ R $-module. In this paper, we study and investigate some properties of …