Maximal exact structures on additive categories
Dennis Sieg, Sven-Ake Wegner
TL;DR
This paper proves that any additive category with kernels and cokernels has a maximal exact structure, and explores examples from functional analysis.
Contribution
It establishes the existence of a maximal exact structure in additive categories with kernels and cokernels, expanding the understanding of their structural properties.
Findings
Every additive category with kernels and cokernels admits a maximal exact structure
Provides examples from functional analysis illustrating these categories
Enhances the theoretical framework for additive categories
Abstract
We show that every additive category with kernels and cokernels admits a maximal exact structure. Moreover, we discuss two examples of categories of the latter type arising from functional analysis.
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