David Kruml
On flat covers in varieties

Comment.Math.Univ.Carolin. 49,1 (2008) 19-24.

Abstract: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.

Keywords: flat object, flat cover, variety, cosimplicial object
AMS Subject Classification: Primary 18G05; Secondary 16D40, 18G30