Maximal exact structures on additive categories revisited

TL;DR

This paper extends the concept of maximal exact structures, originally established for pre-abelian categories, to the broader class of weakly idempotent complete additive categories, enhancing the theoretical framework of exact structures.

Contribution

It generalizes Sieg and Wegner's result by establishing maximal exact structures in weakly idempotent complete additive categories.

Findings

Maximal exact structures are defined in weakly idempotent complete additive categories.

The generalization broadens the applicability of exact structure theory.

Provides a foundation for further research in additive category theory.

Abstract

Sieg and Wegner showed that the stable exact sequences define a maximal exact structure (in the sense of Quillen) in any pre-abelian category. We generalize this result for weakly idempotent complete additive categories.