Manuel Cortés-Izurdiaga

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20172023

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4 papers · 1 filter

math.RA2023

Verdier quotients of homotopy categories of rings and Gorenstein-projective precovers

Manuel Cortés-Izurdiaga

Let $R$ be a ring, $Proj$ be the class of all projective right $R$ -modules, $K$ be the full subcategory of the homotopy category $K (Proj)$ whose…

math.RA2020

Endomorphism rings via minimal morphisms

Manuel Cortés-Izurdiaga, Pedro A. Guil Asensio, D. Keskin Tütüncü +1

We prove that if $u : K \to M$ is a left minimal extension, then there exists an isomorphism between two subrings, $End_{R}^{M} (K)$ and $End_{R}^{K} (M)$ of $\textrm…

math.RA2017

Maximal ideals in module categories and applications

Manuel Cortés-Izurdiaga, Alberto Facchini

We study the existence of maximal ideals in preadditive categories defining an order $⪯$ between objects, in such a way that if there do not exist maximal objects with respec…

math.RA2017

Periodic modules and acyclic complexes

Silvana Bazzoni, Manuel Cortés Izurdiaga, Sergio Estrada

We study the behaviour of modules $M$ that fit into a short exact sequence $0 \to M \to C \to M \to 0$ , where $C$ belongs to a class of modules $C$ , the so-called $C$ …