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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Brüdern, Jörg / Cohen, Frederick R. / Droste, Manfred / Duzaar, Frank / Neeb, Karl-Hermann / Noguchi, Junjiro / Shahidi, Freydoon / Sogge, Christopher D. / Wienhard, Anna

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Volume 28, Issue 3 (May 2016)


Morphisms determined by objects and flat covers

Henning Krause
Published Online: 2015-01-15 | DOI: https://doi.org/10.1515/forum-2014-0115


We describe a procedure for constructing morphisms in additive categories, combining Auslander's concept of a morphism determined by an object with the existence of flat covers. Also, we show how flat covers are turned into projective covers and we interpret these constructions in terms of adjoint functors.

Keywords: Additive category; morphism determined by objects; flat cover

MSC: 18C35; 18E05; 16G70

About the article

Received: 2014-06-24

Published Online: 2015-01-15

Published in Print: 2016-05-01

Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2014-0115.

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