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math.FAJun 27, 2014
41
citations (OpenAlex)
authors
  • Dennis Sieg
  • Sven-Ake Wegner
institutions
  • Universität Trier
  • University of Wuppertal
arXiv abstractPDF
paper

Maximal exact structures on additive categories

arXiv:1406.7192 · doi:10.1002/mana.200910154

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.

Version of May 22, 2011. 9 pages

Cited by in corpus (19)

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  • On the lattices of exact and weakly exact structures
  • On the obscure axiom for one-sided exact categories
  • Examples and non-examples of integral categories and the admissible intersection property
  • The heart of the Banach spaces
  • The left heart and exact hull of an additive regular category
  • Exact categories of topological vector spaces with linear topology
  • Homotopy theory in a quasi-abelian category
  • Locally coherent exact categories
  • When stable short exact sequences define an exact structure on any additive category
  • The index in d-exact categories
  • The category of Silva spaces is not integral
  • Homotopy in Exact Categories
  • Exact couples in semiabelian categories revisited
  • Maximal exact structures on additive categories revisited
  • Largest exact structures and almost split sequences on hearts of twin cotorsion pairs
  • Bounded G-theory with fibred control
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