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math.CT2024
Hochschild cohomology in toposes
Cameron Michie, Ivan Tomasic
We develop a theory of internal Hochschild cohomology in a ringed topos. We construct it via the internal Hochschild cochain complex, as well as through derived functor/topos cohom…
math.CT2021
Difference Galois theory and dynamics
Ivan Tomasic, Michael Wibmer
We develop a Galois theory for difference ring extensions, inspired by Magid's separable Galois theory for ring extensions and by Janelidze's categorical Galois theory. Our differe…