Zobrazeno 1 - 10
of 188
pro vyhledávání: '"Saorín, Manuel"'
Autor:
Saorín, Manuel
We show that if $\alpha$ is a regular cardinal, $\mathcal{D}$ is an $\alpha$-compactly generated triangulated category, in the sense of Neeman \cite{N}, and $\tau$ is a t-structure in $\mathcal{D}$ generated by a set of $\alpha$-compact objects, then
Externí odkaz:
http://arxiv.org/abs/2408.01378
We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex. We show that one way to rescue these methods is to assume Roos (Ab.4$^*$)-$k$ axiom, which we a
Externí odkaz:
http://arxiv.org/abs/2407.09741
Let $\mathcal{P}^{<\infty} (\Lambda$-mod$)$ be the category of finitely generated left modules of finite projective dimension over a basic Artin algebra $\Lambda$. We develop an applicable criterion that reduces the test for contravariant finiteness
Externí odkaz:
http://arxiv.org/abs/2111.09181
Given any additive category $\mathcal{C}$ with split idempotents, pseudokernels and pseudocokernels, we show that a subcategory $\mathcal{B}$ is coreflective if, and only if, it is precovering, closed under direct summands and each morphism in $\math
Externí odkaz:
http://arxiv.org/abs/2109.05111
We consider an arbitrary Abelian category $\mathcal{A}$ and a subcategory $\mathcal{T}$ closed under extensions and direct summands, and characterize those $\mathcal{T}$ that are (semi-)special preenveloping in $\mathcal{A}$; as a byproduct, we gener
Externí odkaz:
http://arxiv.org/abs/2103.14159
Autor:
Iniesta-Navalón, Carles, Ríos-Saorín, Manuel, Rentero-Redondo, Lorena, Añez-Castaño, Rebeca, Urbieta-Sanz, Elena
Publikováno v:
In Gastroenterologia y Hepatologia October 2024
Autor:
Saorín, Manuel, Šťovíček, Jan
Publikováno v:
Selecta Math. (N.S.) 29 (2023), paper no. 77, 73pp
We study when the heart of a t-structure in a triangulated category $\mathcal{D}$ with coproducts is AB5 or a Grothendieck category. If $\mathcal{D}$ satisfies Brown representability, a t-structure has an AB5 heart with an injective cogenerator and c
Externí odkaz:
http://arxiv.org/abs/2003.01401
Autor:
Parra, Carlos E., Saorín, Manuel
In this paper we revisit the problem of determining when the heart of a t-structure is a Grothendieck category, with special attention to the case of the Happel-Reiten-Smal{\o} (HSR) t-structure in the derived category of a Grothendieck category asso
Externí odkaz:
http://arxiv.org/abs/2001.08638
Publikováno v:
In Advances in Mathematics 15 September 2023 429
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 local coherence of the heart $\mathcal{H}_{\mathbf{t}}$ of the associated Happ
Externí odkaz:
http://arxiv.org/abs/1908.00649