The fundamental groups of a triangular algebra

DOI10.1080/00927879608825561zbMath0880.16007OpenAlexW2146136853MaRDI QIDQ4868175

José Antonio de la Peña, Ibrahim Assem

Publication date: 8 December 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879608825561

zbMATH Keywords

finite dimensional algebrasHochschild cohomologypresentationsfundamental groupspath algebrasindecomposable projective modulesone-point extensionstriangular algebrasstrongly simply connected algebrasquivers with relationsSchurian algebrasfinite oriented graphs

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Fundamental group, presentations, free differential calculus (57M05)

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Cites Work

• Directing projective modules
• Multiplicative basis for algebras whose universal cover has no oriented cycles
• Tame algebras and integral quadratic forms
• The universal cover of a quiver with relations
• On Galois coverings of tame algebras
• On the Abelian Galois coverings of an algebra
• Galois coverings of representation-infinite algebras
• Covering spaces in representation-theory
• An interesting family of algebras
• Algebras and Quadratic Forms
• On Some Classes of Simply Connected Algebras
• On Simply Connected Algebras

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