Let K be a field, E the exterior algebra of a n-dimensional K-vector space V . We study projective and injective resolutions over E. More precisely, given a category M of fininitely generated Z-graded left and right E-modules, we give upper bounds for the graded Betti numbers and the graded Bass numbers of classes of modules in M.
Minimal resolutions of graded modules over an exterior algebra
Amata L.;Crupi M.
2019-01-01
Abstract
Let K be a field, E the exterior algebra of a n-dimensional K-vector space V . We study projective and injective resolutions over E. More precisely, given a category M of fininitely generated Z-graded left and right E-modules, we give upper bounds for the graded Betti numbers and the graded Bass numbers of classes of modules in M.File in questo prodotto:
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