The homotopy category of acyclic complexes of pure-projective modules-Reference-Cited by-同舟云学术

The homotopy category of acyclic complexes of pure-projective modules

Published:2023-01-30 Issue:2 Volume:35 Page:507-521
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Gillespie James¹

Affiliation:

1. School of Theoretical and Applied Science , Ramapo College of New Jersey , 505 Ramapo Valley Road , Mahwah , NJ 07430 , USA

Abstract

Abstract Let R be any ring with identity. We show that the homotopy category of all acyclic chain complexes of pure-projective R-modules is a compactly generated triangulated category. We do this by constructing abelian model structures that put this homotopy category into a recollement with two other compactly generated triangulated categories: The usual derived category of R and the pure derived category of R.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2022-0183/pdf

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