Right triangulated categories: As extriangulated categories, aisles and co-aisles

Abstract

Right triangulated categories can be thought of as triangulated categories whose shift functor is not an equivalence. We give intrinsic characterisations of when such categories have a natural extriangulated structure and are appearing as the (co-)aisle of a (co-)t-structure in an associated triangulated category.

arXiv comment28 pages, comments welcome!

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Cited by in corpus (1)

• From right (n+2)-angulated categories to n-exangulated categories