Maximal exact structures on additive categories

Dennis Sieg, Sven Ake Wegner

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2093-2100
Number of pages8
JournalMathematische Nachrichten
Volume284
Issue number16
DOIs
Publication statusPublished - Nov 2011
Externally publishedYes

Fingerprint

Functional Analysis
kernel

Keywords

  • Exact category
  • Homological methods in functional analysis
  • Quasi-abelian
  • Semi-abelian

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Maximal exact structures on additive categories. / Sieg, Dennis; Wegner, Sven Ake.

In: Mathematische Nachrichten, Vol. 284, No. 16, 11.2011, p. 2093-2100.

Research output: Contribution to journalArticle

Sieg, Dennis ; Wegner, Sven Ake. / Maximal exact structures on additive categories. In: Mathematische Nachrichten. 2011 ; Vol. 284, No. 16. pp. 2093-2100.
@article{6d10962a6d3d4290baae3e52e46a00bf,
title = "Maximal exact structures on 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.",
keywords = "Exact category, Homological methods in functional analysis, Quasi-abelian, Semi-abelian",
author = "Dennis Sieg and Wegner, {Sven Ake}",
year = "2011",
month = "11",
doi = "10.1002/mana.200910154",
language = "English",
volume = "284",
pages = "2093--2100",
journal = "Mathematische Nachrichten",
issn = "0025-584X",
publisher = "Wiley-VCH Verlag",
number = "16",

}

TY - JOUR

T1 - Maximal exact structures on additive categories

AU - Sieg, Dennis

AU - Wegner, Sven Ake

PY - 2011/11

Y1 - 2011/11

N2 - 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.

AB - 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.

KW - Exact category

KW - Homological methods in functional analysis

KW - Quasi-abelian

KW - Semi-abelian

UR - http://www.scopus.com/inward/record.url?scp=80053600648&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053600648&partnerID=8YFLogxK

U2 - 10.1002/mana.200910154

DO - 10.1002/mana.200910154

M3 - Article

VL - 284

SP - 2093

EP - 2100

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

SN - 0025-584X

IS - 16

ER -