Semi-addivitity and acyclicity
Commutative Algebra
2012-10-16 v1 Logic
Abstract
We generalize the notion of length to an ordinal-valued invariant defined on the class of finitely generated modules over a Noetherian ring. A key property of this invariant is its semi-additivity on short exact sequences. As an application, we prove some general acyclicity theorems.
Cite
@article{arxiv.1210.3855,
title = {Semi-addivitity and acyclicity},
author = {Hans Schoutens},
journal= {arXiv preprint arXiv:1210.3855},
year = {2012}
}