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July 19, 2026Annales de l’institut FourierOpen Access

A noncommutative analogue of the Peskine–Szpiro Acyclicity Lemma

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Authors

DBDaniel Bath

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Overview

Randomized trial demonstrates the utility of a noncommutative acyclicity lemma in modules over Auslander regular rings, suggesting broader implications in algebra.

Key Points

  • The aim is to present a noncommutative variant of the Peskine–Szpiro Acyclicity Lemma to certify exactness in complexes of finite modules.
  • Develop a variant of the Peskine–Szpiro Acyclicity Lemma for noncommutative rings;
  • Explore cases of Auslander regular rings and relative D-modules;
  • Demonstrate applications in recovering Bernstein–Sato polynomial results and analyzing multi-derivations.
  • Recovered results related to Bernstein–Sato polynomials;
  • Established a new result concerning quasi-free structures of free multi-derivations in hyperplane arrangements;
  • Provided easier verification of hypotheses through geometric realizations.

Cite This Study

Daniel Bath (2026) studied this question.

synapsesocial.com/papers/6a5c6874118b92953e3ed1b1https://doi.org/10.5802/aif.3790
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