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• # Artykuł - szczegóły

## Colloquium Mathematicum

2012 | 127 | 2 | 253-298

## Two classes of almost Galois coverings for algebras

EN

### Abstrakty

EN
We prove that for any representation-finite algebra A (in fact, finite locally bounded k-category), the universal covering F: Ã → A is either a Galois covering or an almost Galois covering of integral type, and F admits a degeneration to the standard Galois covering F̅: Ã→ Ã/G, where $G = Π(Γ_A)$ is the fundamental group of $Γ_A$. It is shown that the class of almost Galois coverings F: R → R' of integral type, containing the series of examples from our earlier paper [Bol. Soc. Mat. Mexicana 17 (2011)], behaves much more regularly than usual with respect to the standard properties of the pair $(F_λ, F_•)$ of adjoint functors associated to F.

253-298

wydano
2012

### Twórcy

autor
• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland
autor
• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 87-100 Toruń, Poland