Super-decomposable pure-injective modules over algebras with strongly simply connected Galois coverings

DOI10.1016/j.jpaa.2016.01.014zbMath1360.16014OpenAlexW2300675364WikidataQ114155465 ScholiaQ114155465MaRDI QIDQ258166

Stanisław Kasjan, Grzegorz Pastuszak

Publication date: 17 March 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2016.01.014

zbMATH Keywords

Galois coverings\(k\)-categoryconvex subcategorypure-injective \(A\)-modulestring algebra of non-polynomial growth

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10)

Related Items (3)

On Krull-Gabriel dimension and Galois coverings ⋮ On wild algebras and super-decomposable pure-injective modules ⋮ On tame strongly simply connected algebras

Cites Work

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• Tame algebras and Tits quadratic forms.
• Tame strongly simply connected algebras form an open scheme.
• An introduction to homological algebra
• Tame biserial algebras
• Model theory of modules
• Galois coverings of representation-infinite algebras
• Selfinjective algebras of polynomial growth
• Covering spaces in representation-theory
• The indecomposable representations of the dihedral 2-groups
• The Tits and Euler forms of a tame algebra
• The repetitive algebra of a gentle algebra
• How to construct a `concrete' superdecomposable pure-injective module over a string algebra.
• Purity, algebraic compactness, direct sum decompositions, and representation type
• On the Infinite Radical of a Module Category
• Algebras whose Tits form accepts a maximal omnipresent root
• On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth
• Representation embeddings, interpretation functors and controlled wild algebras
• On two tame algebras with super-decomposable pure-injective modules
• Tame algebras with strongly simply connected Galois coverings
• Krull-Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups
• Tame Algebras and Generic Modules
• Tame minimal non-polynomial growth simply connected algebras
• Superdecomposable pure-injective modules exist over some string algebras
• Geometric and homological characterizations of polynomial growth strongly simply connected algebras

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