The Auslander Bound for Complexes

Andrew J. Soto Levins

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arXiv · 2402.06130

The Auslander Bound for Complexes

Andrew J. Soto Levins

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Abstract

If a module $M$ has finite projective dimension, then the Ext modules of $M$ against any other module eventually vanish and the projective dimension of $M$ gives a uniform bound for this vanishing. For modules of infinite projective dimension there can still exist a bound. Such a bound is called the Auslander bound. In this paper we define a similar bound for complexes and give applications.

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Andrew J. Soto Levins. 2024-02-09. The Auslander Bound for Complexes. https://arxiv.org/abs/2402.06130

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