Survey on second submodules of modules over commutative rings
F Farshadifar - arXiv preprint arXiv:2411.09333, 2024 - arxiv.org
Let R be a commutative ring with identity. The concept of sec-ond submodule of an R-
module (as a dual notion of prime submodules) was introduced and studied by S. Yassemi …
module (as a dual notion of prime submodules) was introduced and studied by S. Yassemi …
[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 …
[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 …
submodule of modules. Besides giving many examples and properties of S-essential …
Fully -coidempotent modules
F Farshadifar, H Ansari-Toroghy - Journal of Algebra and Its …, 2022 - World Scientific
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and M
be an R-module. A submodule N of M is called coidempotent if N=((0: M Ann R 2 (N)). Also …
be an R-module. A submodule N of M is called coidempotent if N=((0: M Ann R 2 (N)). Also …
On S-second spectrum of a module
S Çeken - Revista de la Real Academia de Ciencias Exactas …, 2022 - Springer
Let R be a commutative ring with identity, S be a multiplicatively closed subset of R. A
submodule N of an R-module M with ann R (N)∩ S=∅ is called an S-second submodule of …
submodule N of an R-module M with ann R (N)∩ S=∅ is called an S-second submodule of …