Minimal resolutions of graded modules over an exterior algebra

Autori

  • Luca Amata Università degli Studi di Messina
  • Marilena Crupi Università degli Studi di Messina

DOI:

https://doi.org/10.1478/AAPP.971A5

Parole chiave:

Exterior algebra, Monomial ideals, Betti number, Bass number

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.

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Pubblicato

2019-05-06

Fascicolo

V. 97 N. 1 (2019)

Sezione

Articoli

Licenza

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