Projectivity relative to closed (neat) submodules

Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

On max-flat and max-cotorsion modules

Y Alagöz, E Büyükaşık - Applicable Algebra in Engineering …, 2021 - Springer
In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …

[PDF][PDF] Proper classes generated by-closed submodules

Y Durğun, A Çobankaya - Analele ştiinţifice ale Universităţii" Ovidius" …, 2019 - sciendo.com
The main object of this paper is to study relative homological aspects as well as further
properties of τ-closed submodules. A submodule N of a module M is said to be τ-closed (or τ …

Closed (St-Closed) Compressible Modules and Closed (St-Closed) Retractable Modules

MBH Al Hakeem, NS Al-Mothafar - Iraqi Journal of Science, 2024 - ijs.uobaghdad.edu.iq
Let be a commutative ring with 1 and be a left unitary R-module. In this paper, we give a
generalization for the notions of compressible (retractable) module. As well as, we study …

[PDF][PDF] D-extending modules

Y Durğun - Hacettepe Journal of Mathematics and Statistics, 2020 - dergipark.org.tr
D-extending modules Page 1 Hacettepe Journal of Mathematics & Statistics Hacet. J. Math.
Stat. Volume 49 (3) (2020), 914 – 920 DOI : 10.15672/hujms.460241 Research Article D-extending …

[PDF][PDF] On MF-projective modules

Y Alagöz - Hacettepe Journal of Mathematics and Statistics, 2021 - dergipark.org.tr
In this paper, we study left orthogonal class of max-flat modules which are the homological
objects related to s-pure exact sequences of modules and module homomorphisms …

[PDF][PDF] Proper classes related with complements and supplements

R Alizade, E Mermut - Palestine Journal of Mathematics, 2015 - pjm.ppu.edu
In this survey article, we shall give some properties of classes of short exact sequences of
modules related with complement and supplement submodules; some of them form proper …

Weakly--Flat Modules

Y Durǧun - Bulletin of the Iranian Mathematical Society, 2021 - Springer
In this paper, we introduce and study a torsion-theoretic generalization of the weakly-flat
module using the concept of τ τ-closed submodule for an idempotent radical τ τ. We …