Level and Gorenstein Projective Dimension
Commutative Algebra
2021-11-16 v2
Abstract
We investigate the relationship between the level of a bounded complex over a commutative ring with respect to the class of Gorenstein projective modules and other invariants of the complex or ring, such as projective dimension, Gorenstein projective dimension, and Krull dimension. The results build upon work done by J. Christensen [6], H. Altmann et al. [1], and Avramov et al. [3] for levels with respect to the class of finitely generated projective modules.
Cite
@article{arxiv.2109.05548,
title = {Level and Gorenstein Projective Dimension},
author = {Laila Awadalla and Thomas Marley},
journal= {arXiv preprint arXiv:2109.05548},
year = {2021}
}
Comments
13 pages v2: strengthened Corollary 3.12 (see Theorem 3.12) and updated acknowledgments