S. Estrada

activity

20242026

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math.CT2024

Powers of ghost ideals

S. Estrada, X. H. Fu, I. Herzog +1

A theory of ordinal powers of the ideal $g_{S}$ of $S$ -ghost morphisms is developed by introducing for every ordinal $λ$ , the $λ$ -th inductive power…

math.CT2024

Transfer of homological objects in exact categories via adjoint triples. Applications to functor categories

Sergio Estrada, Manuel Cortés-Izurdiaga, Sinem Odabasi

For a given family ${(q_{i}, t_{i}, p_{i})}_{i \in I}$ of adjoint triples between exact categories $C$ or $D$ , we show that any cotorsio…

math.RA2024

Homotopy equivalences and Grothendieck duality over rings with finite Gorenstein weak global dimension

Junpeng Wang, Sergio Estrada

Let $R$ be a ring with Gwgldim $(R) < \infty$ . We obtain a triangle-equivalence $K (R - GProj) ≃ K (R - GInj)$ which restricts to a tri…