How to construct a `concrete' superdecomposable pure-injective module over a string algebra.

DOI10.1016/j.jpaa.2007.06.011zbMath1142.16004OpenAlexW2100502226WikidataQ114155521 ScholiaQ114155521MaRDI QIDQ2464511

Gena Puninski

Publication date: 21 December 2007

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.2007.06.011

zbMATH Keywords

indecomposable direct summandstame representation typestring algebraslattices of pp formulaspp-typessuperdecomposable pure-injective modules

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)

Related Items

On Krull-Gabriel dimension and Galois coverings, On wild algebras and super-decomposable pure-injective modules, Modules with irrational slope over tubular algebras, Strongly simply connected algebras with super-decomposable pure-injective modules, Super-decomposable pure-injective modules over algebras with strongly simply connected Galois coverings

Cites Work

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• The Ziegler and Zariski spectra of some domestic string algebras.
• Krull-Gabriel dimension of 1-domestic string algebras.
• Decompositions of algebraically compact modules
• Model theory of modules
• The indecomposable representations of the dihedral 2-groups
• Algebraically compact rings and modules
• Superdecomposable pure injective modules over commutative valuation rings
• Pure injective modules over a commutative valuation domain.
• Serial functors, Jacobson radical and representation type.
• Maps between representations of zero-relation algebras
• On the Infinite Radical of a Module Category
• Pure-injective modules over the dihedral algebras
• SUPERDECOMPOSABLE PURE-INJECTIVE MODULES AND INTEGRAL GROUP RINGS
• Krull-Gabriel dimension and the model-theoretic complexity of the category of modules over group rings of finite groups
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Imaginary modules
• Elementary Duality of Modules
• The Ziegler Spectrum of a Locally Coherent Grothendieck Category
• Superdecomposable pure-injective modules exist over some string algebras
• One-directed indecomposable pure injective modules over string algebras