On the K-theory of Z-categories

Ellis, Eugenia - Parra, Rafael

Resumen:

We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories.


Detalles Bibliográficos
2022
ANII - FCE_3_2018_1_148588
K-Theory and Homology
Category Theory
Inglés
Universidad de la República
COLIBRI
https://arxiv.org/abs/2207.04918
https://hdl.handle.net/20.500.12008/33740
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
Resumen:
Sumario:We relate the notions of Noetherian, regular coherent and regular n-coherent category for Z-linear categories with finite objects with the corresponding notions for unital rings. We use this relation to obtain a vanishing negative K-theory of Z-linear categories.