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arXiv · 2009.04451

Dimension of finite free complexes over commutative Noetherian rings

Lars Winther Christensen·Srikanth B. Iyengar
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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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Lars Winther Christensen, Srikanth B. Iyengar. 2020-09-09. Dimension of finite free complexes over commutative Noetherian rings. https://arxiv.org/abs/2009.04451

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