Publication:
Azumaya algebras and Barr’s Theorem

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2026

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ZML: Zeitschrift für Mathematische Logik und Grundlagen der Mathematik

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Abstract

We study étale topology and the notion of Azumaya algebra over a commutative ring constructively. As an application of the syntactic version of Barr’s Theorem, we show the equivalence between two definitions of Azumaya algebra.

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Thierry Coquand, Henri Lombardi, and Neuwirth Stefan. "Azumaya algebras and Barr’s Theorem." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, Vol. 72 (2026), pp. 353–361. DOI: 10.60866/CAM.293

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