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Non-Noetherian representation categories of generalized fields

Published 9 Jun 2020 in math.CO, math.RA, and math.RT | (2006.05157v1)

Abstract: In this paper, we show that the categories of finitely generated projective $\mathbb{B}$-modules and $\mathbb{F}_\infty$-modules with morphisms being (splittable) injections are not locally Noetherian. This provides another instance of the fact that these generalized fields have strange homological behavior.

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