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Communications in Algebra Volume 33, 2005 - Issue 6
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Original Articles

When is Flatness Coherent?

Tibor Beke Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA
,
Panagis Karazeris Department of Mathematics, University of Patras, Patras, GreeceCorrespondence[email protected]
&
Jiří Rosický Department of Mathematics, Masaryk University, Brno, Czech Republic
Pages 1903-1912 | Received 01 Dec 2003, Accepted 01 Oct 2004, Published online: 01 Feb 2007
 
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ABSTRACT

We characterize those small categories with the property that flat (contravariant) functors on them are coherently axiomatized in the language of presheaves on them. They are exactly the categories with the property that every finite diagram into them has a finite set of (weakly) initial cocones.

ACKNOWLEDGMENT

Supported by the Ministry of Education of the Czech Republic under the project MSM 143100009.

Notes

#Communicated by R. Wusbauer.

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