A note on model structures on arbitrary Frobenius categories |
| |
Authors: | Zhi-Wei Li |
| |
Institution: | 1.School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou, Jiangsu,P.R. China |
| |
Abstract: | 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). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|