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math.RA2021
A note on set theoretical solutions of the Yang-Baxter equation with trivial retraction
Pablo Zadunaisky
We show that every finite non-degenerate set theoretical solution to the YBE whose retraction is a flip linearizes to a twist of the flip solution by roots of unity. This generaliz…
math.RA2015
Behaviour of injective dimension with respect to regradings
Andrea Solotar, Pablo Zadunaisky
Given a left noetherian k-algebra A graded by a group G, an injective object I in the category of G-graded A-modules and a morphism from G to another group G', we provide bounds fo…