What makes a multi-complex exact?
Commutative Algebra
2014-11-04 v4 Category Theory
K-Theory and Homology
Abstract
In this paper, we give a sufficient condition which makes the total complex of a cube exact. This can be regarded as a variant of the Buchsbaum-Eisenbud theorem which gives a characterization of what makes a complex of finitely generated free modules exact in terms of the grade of the Fitting ideals of boundary maps of the complex.
Cite
@article{arxiv.1305.6794,
title = {What makes a multi-complex exact?},
author = {Satoshi Mochizuki and Seidai Yasuda},
journal= {arXiv preprint arXiv:1305.6794},
year = {2014}
}