Strongly simply connected Auslander algebras
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...
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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...
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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 کاملAuslander Algebras of Self-Injective Nakayama Algebras
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1997
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500031864