The alternating syzygy behavior of monomial algebras

DOI10.1006/jabr.1996.6813zbMath0885.16011OpenAlexW2025012637MaRDI QIDQ1355501

Michael J. Bardzell

Publication date: 22 February 1998

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

Full work available at URL: https://semanticscholar.org/paper/6df7de56485b7da2238f1dcb4718a6bc85b469e7

zbMATH Keywords

Hochschild cohomologysyzygiesprojective resolutionspath algebrasmonomial algebrasnoncommutative Gröbner basesminimal free resolutionsfinite quivers

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)

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Cites Work

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• Predicting syzygies over monomial relations algebras
• Projective resolutions over Artin algebras with zero relations
• Rigidity of truncated quiver algebras
• The cohomology ring of a monomial algebra.
• Do subspaces have distinguished bases?
• On the homology of quotients of path algebras
• Synergy in the Theories of Gröbner Bases and Path Algebras

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