Tame algebras with strongly simply connected Galois coverings
نویسندگان
چکیده
منابع مشابه
ALGEBRAS WITH CYCLE-FINITE STRONGLY SIMPLY CONNECTED GALOIS COVERINGS
Let $A$ be a nite dimensional $k-$algebra and $R$ be a locally bounded category such that $R rightarrow R/G = A$ is a Galois covering dened by the action of a torsion-free group of automorphisms of $R$. Following [30], we provide criteria on the convex subcategories of a strongly simply connected category R in order to be a cycle- nite category and describe the module category of $A$. We p...
متن کاملalgebras with cycle-finite strongly simply connected galois coverings
let $a$ be a nite dimensional $k-$algebra and $r$ be a locally bounded category such that $r rightarrow r/g = a$ is a galois covering de ned by the action of a torsion-free group of automorphisms of $r$. following [30], we provide criteria on the convex subcategories of a strongly simply connected category r in order to be a cycle- nite category and describe the module category of $a$. we pro...
متن کاملGalois coverings of weakly shod algebras
We investigate the Galois coverings of weakly shod algebras. For a weakly shod algebra not quasi-tilted of canonical type, we establish a correspondence between its Galois coverings and the Galois coverings of its connecting component. As a consequence we show that a weakly shod algebra which is not quasi-tilted of canonical type is simply connected if and only if its first Hochschild cohomolog...
متن کاملTame coverings of arithmetic schemes
The objective of this paper is to investigate tame fundamental groups of schemes of finite type over Spec(Z). More precisely, let X be a connected scheme of finite type over Spec(Z) and let X̄ be a compactification of X, i.e. a scheme which is proper and of finite type over Spec(Z) and which contains X as a dense open subscheme. Then the tame fundamental group of X classifies finite étale coveri...
متن کاملAuslander-Reiten theory for simply connected differential graded algebras
In [24] and [26] Jørgensen introduced the Auslander-Reiten quiver of a simply connected Poincaré duality space. He showed that its components are of the form ZA∞ and that the Auslander-Reiten quiver of a d-dimensional sphere consists of d−1 such components. In this thesis we show that this is the only case where finitely many components appear. More precisely, we construct families of modules, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1997
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-72-2-335-351