Minimal resolutions of graded modules over an exterior algebra

Luca Amata, Marilena Crupi

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 finitely 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.

Keywords


Exterior algebra, Monomial ideals; Betti number; Bass number

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DOI: http://dx.doi.org/10.1478/AAPP.971A5

Copyright (c) 2019 marilena crupi, Luca Amata

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