2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67475We provide a Cartan-Leray type spectral sequence for the Hochschild-Mitchell (co)homology of a Galois covering of linear categories. We infer results relating the Galois group and Hochschild cohomology in degree one.Rings and AlgebrasCategory Theory16E40, 18E05Cartan-Leray spectral sequence for Galois coverings of linear categoriestext