Dimension of finite free complexes over commutative Noetherian rings

Published 9 Sep 2020 in math.AC | (2009.04451v1)

Abstract: Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be computed directly from the matrices representing the differentials of the complex.

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