Minimal resolutions of graded modules over an exterior algebra

Authors

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

DOI:

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

Keywords:

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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Published

2019-05-06

Issue

Vol. 97 No. 1 (2019)

Section

Articles

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