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math.RA2026
Weakly Sigma-cotorsion rings
Manuel Cortés-Izurdiaga, Sergio Estrada, José Manuel Fresneda
We study the class of rings for which every direct sum of injective -modules is cotorsion. We call them weakly -cotorsion rings. The defining property might be seen as th…
math.RA2025
Acyclic complexes and regular rings
Lars Winther Christensen, Sergio Estrada, Peder Thompson
A 2009 paper by Iacob and Iyengar characterizes noetherian regular rings in terms of properties of complexes of projective modules, flat modules, and injective modules. We show tha…
math.RA2024
Homotopy equivalences and Grothendieck duality over rings with finite Gorenstein weak global dimension
Junpeng Wang, Sergio Estrada
Let be a ring with Gwgldim. We obtain a triangle-equivalence which restricts to a tri…