Singular compactness and definability for -cotorsion and Gorenstein modules
J Šaroch, J Št'ovíček - Selecta Mathematica, 2020 - Springer
We introduce a general version of the singular compactness theorem which makes it
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …
possible to show that being a Σ Σ-cotorsion module is a property of the complete theory of …
The tilting–cotilting correspondence
L Positselski, J Šťovíček - International Mathematics Research …, 2021 - academic.oup.com
To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …
Deconstructibility and the Hill lemma in Grothendieck categories
J Šťovíček - Forum Mathematicum, 2013 - degruyter.com
A full subcategory of a Grothendieck category is called deconstructible if it consists of all
transfinite extensions of some set of objects. This concept provides a handy framework for …
transfinite extensions of some set of objects. This concept provides a handy framework for …
Mittag–Leffler stability of systems of fractional nabla difference equations
PW Eloe, J Jonnalagadda - Bulletin of the Korean …, 2019 - ecommons.udayton.edu
Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the
Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler …
Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler …
Generalized periodicity theorems
L Positselski - arXiv preprint arXiv:2301.00708, 2023 - arxiv.org
Let $ R $ be a ring and $\mathsf S $ be a class of strongly finitely presented (FP ${} _\infty $)
$ R $-modules closed under extensions, direct summands, and syzygies. Let $(\mathsf …
$ R $-modules closed under extensions, direct summands, and syzygies. Let $(\mathsf …
Approximations and Mittag-Leffler conditions the tools
J Šaroch - Israel Journal of mathematics, 2018 - Springer
Mittag-Leffler modules occur naturally in algebra, algebraic geometry, and model
theory,[20],[14],[19]. If R is a non-right perfect ring, then it is known that in contrast with the …
theory,[20],[14],[19]. If R is a non-right perfect ring, then it is known that in contrast with the …
[HTML][HTML] Model category structures arising from Drinfeld vector bundles
S Estrada, PAG Asensio, M Prest, J Trlifaj - Advances in Mathematics, 2012 - Elsevier
We present a general construction of model category structures on the category C (Qco (X))
of unbounded chain complexes of quasi-coherent sheaves on a semi-separated scheme X …
of unbounded chain complexes of quasi-coherent sheaves on a semi-separated scheme X …
On characterizations of w-coherent rings
X Zhang, F Wang, W Qi - Communications in Algebra, 2020 - Taylor & Francis
In this article, we provide several descriptions of w-coherent rings in terms of modules. We
show that a ring R is w-coherent if and only if every direct product of flat modules is w-flat. To …
show that a ring R is w-coherent if and only if every direct product of flat modules is w-flat. To …
Approximations and Mittag-Leffler conditions the applications
L Angeleri Hügel, J Śaroch, J Trlifaj - Israel Journal of Mathematics, 2018 - Springer
A classic result by Bass says that the class of all projective modules is covering if and only if
it is closed under direct limits. Enochs extended the if-part by showing that every class of …
it is closed under direct limits. Enochs extended the if-part by showing that every class of …
Test sets for factorization properties of modules
J Šaroch, J Trlifaj - … del Seminario Matematico della Università di …, 2020 - ems.press
Baer's Criterion of injectivity implies that injectivity of a module is a factorization property with
respect to\a single monomorphism. Using the notion of a cotorsion pair, we study …
respect to\a single monomorphism. Using the notion of a cotorsion pair, we study …