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Maximal exact structures on additive categories
Authors:Dennis Sieg  Sven‐Ake Wegner
Affiliation:1. Faculty IV – Mathematics, Building E, University of Trier, 54286 Trier, Germany. Phone: +49 651 201 349 5, Fax: +49 651 201 347 9;2. Fachbereich C – Mathematik und Naturwissenschaften, Arbeitsgruppe Funktionalanalysis, Bergische Universit?t Wuppertal, Gau?stra?e 20, 42097 Wuppertal, Germany
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.
Keywords:Exact category  quasi‐abelian  semi‐abelian  homological methods in functional analysis  MSC (2010) 46M18  18E10  18G50
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