Non-Noetherian representation categories of generalized fields
Combinatorics
2020-06-11 v1 Rings and Algebras
Representation Theory
Abstract
In this paper, we show that the categories of finitely generated projective -modules and -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.
Keywords
Cite
@article{arxiv.2006.05157,
title = {Non-Noetherian representation categories of generalized fields},
author = {Maël Denys and Márton Hablicsek and Giacomo Negrisolo},
journal= {arXiv preprint arXiv:2006.05157},
year = {2020}
}
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