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The free exact category on a left exact one

Part of: Abelian categories

Published online by Cambridge University Press:  09 April 2009

A. Carboni  and
R. Celia Magno
A. Carboni
Affiliation:
Istituto Matematicovia C. Saldini 5020133 Milano, Italia
R. Celia Magno
Affiliation:
Istituto Matematicovia C. Saldini 5020133 Milano, Italia
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Abstract

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We give an explicit one step description of the free (Barr) exact category on a left exact one. As an application we give a new two step construction of the free abelian category on an additive one.

MSC classification

Secondary: 18E10: Exact categories, abelian categories
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 3 , December 1982 , pp. 295 - 301
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Adelman, M., ‘Abelian categories over additive ones’, J. Pure Appl. Algebra 3 (1973), 103–117.CrossRefGoogle Scholar
[2]Barr, M., Exact categories and categories of sheaves, pp. 1–120 (Springer Lecture Notes in Math. 236 (1971)).CrossRefGoogle Scholar
[3]Magno, R. Celia (Thesis, University of Calabria, Cosenza, Italy (1981)).Google Scholar
[4]Street, R. H., ‘Fibrations in bicategories,’ Cahiers Topologie Géom. Différentielle 21 (1980), 111–160.Google Scholar