Generalizations of prime submodules over non-commutative rings
EA Ugurlu - arXiv preprint arXiv:2006.09371, 2020 - arxiv.org
Throughout this paper, $ R $ is an associative ring (not necessarily commutative) with
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
Generalizations of prime submodules over non-commutative rings
E Aslankarayigit Ugurlu - arXiv e-prints, 2020 - ui.adsabs.harvard.edu
Throughout this paper, $ R $ is an associative ring (not necessarily commutative) with
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
identity and $ M $ is a right $ R $-module with unitary. In this paper, we introduce a new …
Classical 2-absorbing submodules of modules over commutative rings
H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06564, 2015 - arxiv.org
In this article, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
Weakly classical prime submodules
H Mostafanasab, U Tekir, KH Oral - arXiv preprint arXiv:1505.06730, 2015 - arxiv.org
In this paper, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
-classical prime submodules
H Mostafanasab, ES Sevim, S Babaei… - arXiv preprint arXiv …, 2015 - arxiv.org
In this paper, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …
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 …
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 …
Almost prime and weakly prime submodules
PK Beiranvand, R Beyranvand - Journal of Algebra and Its …, 2019 - World Scientific
Let R be an arbitrary ring and M be a right R-module. A proper submodule N of M is called
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …
almost prime (respectively, weakly prime) if for each submodule K of M and each ideal I of R …
On 1-absorbing prime submodules
EA Ugurlu - arXiv preprint arXiv:2007.01103, 2020 - arxiv.org
In this study, we aim to introduce the concept of a 1-absorbing prime submodule of an unital
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …
module over a commutative ring with a non-zero identity. Let M be an R-module and N be a …
-pure submodules of modules
F Farshadifar - arXiv preprint arXiv:2002.01133, 2020 - arxiv.org
arXiv:2002.01133v1 [math.AC] 4 Feb 2020 Page 1 arXiv:2002.01133v1 [math.AC] 4 Feb 2020
n-PURE SUBMODULES OF MODULES F. FARSHADIFAR Abstract. Let R be a commutative …
n-PURE SUBMODULES OF MODULES F. FARSHADIFAR Abstract. Let R be a commutative …