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On flat covers in varieties

David Kruml (2008)

Commentationes Mathematicae Universitatis Carolinae

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.

On G -disconnected injective models

Marek Golasiński (2003)

Annales de l’institut Fourier

Let G be a finite group. It was observed by L.S. Scull that the original definition of the equivariant minimality in the G -connected case is incorrect because of an error concerning algebraic properties. In the G -disconnected case the orbit category 𝒪 ( G ) was originally replaced by the category 𝒪 ( G , X ) with one object for each component of each fixed point simplicial subsets X H of a G -simplicial set X , for all subgroups H G . We redefine the equivariant minimality and redevelop some results on the rational homotopy...

On Leibniz homology

Teimuraz Pirashvili (1994)

Annales de l'institut Fourier

We describe a spectral sequence for computing Leibniz cohomology for Lie algebras.

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