Lifting and restricting t‐structures
F Marks, A Zvonareva - Bulletin of the London Mathematical …, 2023 - Wiley Online Library
We explore the interplay between t‐structures in the bounded derived category of finitely
presented modules and the unbounded derived category of all modules over a coherent ring …
presented modules and the unbounded derived category of all modules over a coherent ring …
Locally finitely presented and coherent hearts
Starting with a Grothendieck category G and a torsion pair t D. T; F/in G, we study the local
finite presentability and local coherence of the heart Ht of the associated Happel–Reiten …
finite presentability and local coherence of the heart Ht of the associated Happel–Reiten …
Universal co-Extensions of torsion abelian groups
A Argudín-Monroy, CE Parra - Journal of Algebra, 2024 - Elsevier
Abstract In [16], a theory of universal extensions in abelian categories is developed; in
particular, the notion of Ext 1-universal object is presented. In the present paper, we show …
particular, the notion of Ext 1-universal object is presented. In the present paper, we show …
Relative tilting theory in abelian categories II: --tilting theory
AA Monroy, OM Hernandez - arXiv preprint arXiv:2112.14873, 2021 - arxiv.org
We introduce a relative tilting theory in abelian categories and show that this work offers a
unified framework of different previous notions of tilting, ranging from Auslander-Solberg …
unified framework of different previous notions of tilting, ranging from Auslander-Solberg …