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.
2019
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3143263
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