Maximal exact structures on additive categories
Identifieur interne : 000B68 ( Istex/Corpus ); précédent : 000B67; suivant : 000B69Maximal exact structures on additive categories
Auteurs : Dennis Sieg ; Sven-Ake WegnerSource :
- Mathematische Nachrichten [ 0025-584X ] ; 2011-11.
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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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DOI: 10.1002/mana.200910154
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Phone: +49 202 439 253 1, Fax: +49 202 439 377 1</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="article" displayLabel="article"></genre><originInfo><publisher>WILEY‐VCH Verlag</publisher><place><placeTerm type="text">Germany</placeTerm></place><dateIssued encoding="w3cdtf">2011-11</dateIssued><dateCaptured encoding="w3cdtf">2009-06-25</dateCaptured><dateValid encoding="w3cdtf">2010-02-07</dateValid><copyrightDate encoding="w3cdtf">2011</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType><extent unit="references">20</extent></physicalDescription><abstract lang="en">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.</abstract><subject lang="en"><genre>keywords</genre><topic>Exact category</topic><topic>quasi‐abelian</topic><topic>semi‐abelian</topic><topic>homological methods in functional analysis</topic><topic>MSC (2010) 46M18</topic><topic>18E10</topic><topic>18G50</topic></subject><relatedItem type="host"><titleInfo><title>Mathematische Nachrichten</title></titleInfo><titleInfo type="abbreviated"><title>Math. Nachr.</title></titleInfo><genre type="journal">journal</genre><subject><genre>article-category</genre><topic>Research Article</topic></subject><identifier type="ISSN">0025-584X</identifier><identifier type="eISSN">1522-2616</identifier><identifier type="DOI">10.1002/(ISSN)1522-2616</identifier><identifier type="PublisherID">MANA</identifier><part><date>2011</date><detail type="volume"><caption>vol.</caption><number>284</number></detail><detail type="issue"><caption>no.</caption><number>16</number></detail><extent unit="pages"><start>2093</start><end>2100</end><total>8</total></extent></part></relatedItem><identifier type="istex">8ED2A5A991B0EB23CBDB114DD3E2B6105F3A9A05</identifier><identifier type="DOI">10.1002/mana.200910154</identifier><identifier type="ArticleID">MANA200910154</identifier><accessCondition type="use and reproduction" contentType="copyright">Copyright © 2011 WILEY‐VCH Verlag GmbH & Co. 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