A note on model structures on arbitrary Frobenius categories

Title:

A note on model structures on arbitrary Frobenius categories

Creator:

Li, Zhi-Wei

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:dcda5d03-cdf3-4aec-9525-f84dc3d33475
uuid:dcda5d03-cdf3-4aec-9525-f84dc3d33475
issn:0011-4642

Subject:

matematika, mathematics, Frobenius categorie, triangulated categories, model structure, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We show that there is a model structure in the sense of Quillen on an arbitrary Frobenius category F such that the homotopy category of this model structure is equivalent to the stable category F as triangulated categories. This seems to be well-accepted by experts but we were unable to find a complete proof for it in the literature. When F is a weakly idempotent complete (i.e., every split monomorphism is an inflation) Frobenius category, the model structure we constructed is an exact (closed) model structure in the sense of Gillespie (2011)., Zhi-Wei Li., and Seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

329-337

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:2

Harvested from:

CDK

Metadata only:

false