Tame minimal non-polynomial growth simply connected algebras
Rainer Nörenberg, Andrzej Skowroński (1997)
Colloquium Mathematicae
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Displaying similar documents to “Substructures of algebras with weakly non-negative Tits form.”
Tame minimal non-polynomial growth simply connected algebras
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Quasitilted algebras have been introduced as a proper generalization of tilted algebras. In an earlier article we determined necessary conditions for one-point extensions of decomposable finite-dimensional hereditary algebras to be quasitilted and not tilted. In this article we study algebras satisfying these necessary conditions in order to investigate to what extent the conditions are sufficient.
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Szántó, Csaba (2007)
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Let A be an artin algebra over a commutative artin ring R and ind A the category of indecomposable finitely generated right A-modules. Denote to be the full subcategory of ind A formed by the modules X whose all predecessors in ind A have projective dimension at most one, and by the full subcategory of ind A formed by the modules X whose all successors in ind A have injective dimension at most one. Recently, two classes of artin algebras A with co-finite in ind A, quasi-tilted...