On the K-theory of Z-categories

Ellis, Eugenia; Parra, Rafael

Preprint

Fecha

2022

Registro en:

Ellis, E. y Parra, R On the K-theory of Z-categories. [Preprint]. Publicado en : Mathematics (math.KT-K-Theory and Homology), 2022, pp. 1-16. arXiv 2207.04918.

https://arxiv.org/abs/2207.04918

https://hdl.handle.net/20.500.12008/33740

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4987585

Autor

Ellis, Eugenia

Parra, Rafael

Institución

Universidad de la República (Uruguay)

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.

Materias

K-Theory and Homology

Category Theory

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