[PDF][PDF] Module classes induced by complexes and λ-pure-injective modules
M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - researchgate.net
We prove that, if GProj is the class of all Gorenstein projective modules over a ring R, then
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …
GP=(GProj, GProj⊥) is a cotorsion pair. Moreover, GP is complete when all projective …
Salce's problem on cotorsion pairs is undecidable
S Cox - Bulletin of the London Mathematical Society, 2022 - Wiley Online Library
In the 1970's, Salce introduced the notion of a cotorsion pair of classes of abelian groups,
and asked whether every such pair is complete (that is, has enough injectives and …
and asked whether every such pair is complete (that is, has enough injectives and …
On limit models and parametrized noetherian rings
M Mazari-Armida - arXiv preprint arXiv:2405.20214, 2024 - arxiv.org
We study limit models in the abstract elementary class of modules with embeddings as
algebraic objects. We characterize parametrized noetherian rings using the degree of …
algebraic objects. We characterize parametrized noetherian rings using the degree of …
Approximation properties of torsion classes
S Cox, A Poveda, J Trlifaj - arXiv preprint arXiv:2406.02829, 2024 - arxiv.org
We clarify some results of Bagaria and Magidor\cite {MR3152715} about the relationship
between large cardinals and torsion classes of abelian groups, and prove that (1) the …
between large cardinals and torsion classes of abelian groups, and prove that (1) the …
Fibrantly generated weak factorization systems
S Cox, J Rosický - Rendiconti del Seminario Matematico della Università …, 2023 - ems.press
Fibrantly generated weak factorization systems Page 1 Rend. Sem. Mat. Univ. Padova (Online
first) DOI 10.4171/RSMUP/135 © 2023 Università degli Studi di Padova Published by EMS …
first) DOI 10.4171/RSMUP/135 © 2023 Università degli Studi di Padova Published by EMS …
The cotorsion pair generated by the Gorenstein projective modules and -pure-injective modules
M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - arxiv.org
We prove that, if $\textrm {GProj} $ is the class of all Gorenstein projective modules over a
ring $ R $, then $\mathfrak {GP}=(\textrm {GProj},\textrm {GProj}^\perp) $ is a cotorsion pair …
ring $ R $, then $\mathfrak {GP}=(\textrm {GProj},\textrm {GProj}^\perp) $ is a cotorsion pair …