On flat covers in varieties

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Authors	KRUML David
Year of publication	2008
Type	Article in Periodical
Magazine / Source	Commentationes Mathematicae Universitatis Carolinae
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	flat object; flat cover; variety; cosimplicial object
Description	Flat covers do not exist in all varieties. We give a necessary condition for the existence of flat covers and some examples of varieties where not all algebras have flat covers.
Related projects:	Mathematical structures and their physical applications