What makes a multi-complex exact?

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.

References in corpus (1)

• Non-connective K-theory of relative exact categories

Cited by in corpus (3)

• Local Gersten's conjecture for regular system of parameters
• A survey of Gersten's conjecture
• A dévissage theorem of non-connective $K$-theory