Tate-Betti and Tate-Bass numbers
K-Theory and Homology
2018-03-28 v1 Commutative Algebra
Abstract
We define Tate-Betti and Tate-Bass invariants for modules over a commutative noetherian local ring R. Then we show the periodicity of these invariants provided that R is a hypersurface. In case R is also Gorenstein, we show that a finitely generated R-module M and its Matlis dual have the same Tate-Betti and Tate-Bass numbers.
Keywords
Cite
@article{arxiv.1803.09301,
title = {Tate-Betti and Tate-Bass numbers},
author = {Edgar Enochs and Sergio Estrada and Alina Iacob},
journal= {arXiv preprint arXiv:1803.09301},
year = {2018}
}