paper

Azumaya algebras and Barr Theorem

arXiv:2306.17679

Abstract

We study etale 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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Azumaya algebras and Barr Theorem · wovepaper