Reflective and coreflective subcategories

M Cortés-Izurdiaga, S Crivei, M Saorín - Journal of Pure and Applied …, 2023 - Elsevier
Given any additive category C with split idempotents, pseudokernels and pseudocokernels,
we show that a subcategory B is coreflective if, and only if, it is precovering, closed under …

Locally finitely presented and coherent hearts

CE Parra, M Saorín, S Virili - arXiv preprint arXiv:1908.00649, 2019 - arxiv.org
Starting with a Grothendieck category $\mathcal {G} $ and a torsion pair $\mathbf
{t}=(\mathcal {T},\mathcal {F}) $ in $\mathcal G $, we study the local finite presentability and …

Tilting preenvelopes and cotilting precovers in general Abelian categories

CE Parra, M Saorín, S Virili - Algebras and Representation Theory, 2023 - Springer
We consider an arbitrary Abelian category A and a subcategory T closed under extensions
and direct summands, and characterize those T that are (semi-) special preenveloping in A; …

Locally finitely presented and coherent hearts

CE Parra, M Saorín, S Virili - Rev. Mat. Iberoam, 2023 - ems.press
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 …

[PDF][PDF] a review of Reflective and coreflective subcategories by Cortes-Izurdiaga, Manuel; Crivei, Septimiu; Saorin, Manuel

西村泰一, ニシムラヒロカズ - Zentralblatt MATH, 2023 - tsukuba.repo.nii.ac.jp
Cortés-Izurdiaga, Manuel ; Crivei, Septimiu ; Saorín, Manuel Reflective and coreflective
subcategories. (English) £ ¢ ¡ Zb Page 1 Cortés-Izurdiaga, Manuel; Crivei, Septimiu; Saorín …

Local coherence of hearts associated with Thomason filtrations

L Martini, CE Parra - Journal of Pure and Applied Algebra, 2022 - Elsevier
Any Thomason filtration of a commutative ring yields (at least) two t-structures in the derived
category of the ring, one of which is compactly generated [19],[20]. We study the hearts of …