Graded algebras and their Euler-Poincaré series

DOI10.1016/0022-4049(87)90091-0zbMath0619.13006OpenAlexW2048496652MaRDI QIDQ1089389

Luzius Grunenfelder

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90091-0

zbMATH Keywords

regular ringgraded algebrasHilbert seriesamalgamationEuler-Poincaré series

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Regular local rings (13H05)

Cites Work

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• Tor gives the inverse to the Hilbert function of a graded algebra
• A graded algebra with a non-rational Hilbert series
• A counterexample to a conjecture of Serre
• Algèbres connexes et homologie des espaces de lacets
• The periodicity in the graded ring associated with an integral group ring
• Dimension and multiplicity of graded algebras
• On the structure of Hopf algebras
• Algebraic \(K\)-theory

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