On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth

DOI10.4064/cm136-2-3zbMath1322.16009OpenAlexW1984010712WikidataQ114022034 ScholiaQ114022034MaRDI QIDQ2879356

Grzegorz Pastuszak, Stanisław Kasjan

Publication date: 8 September 2014

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm136-2-3

zbMATH Keywords

finite-dimensional algebraspg-critical algebrasstrongly simply connected algebrasrepresentation typessuper-decomposable pure-injective moduleslattices of pointed modulesnon-polynomial growth algebras

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Modular lattices, Desarguesian lattices (06C05) Computable structure theory, computable model theory (03C57)

Related Items (5)

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

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