Rational dependence among Hilbert and Poincaré series

DOI10.1016/0022-4049(85)90005-2zbMath0575.13008OpenAlexW1978309514MaRDI QIDQ1064357

David J. Anick, Tor H. Gulliksen

Publication date: 1985

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(85)90005-2

zbMATH Keywords

finitely presented graded algebrasloop spaces on finite CW complexesnoetherian local ringsrational relation of Hilbert series and Poincaré series

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Commutative Noetherian rings and modules (13E05) Loop spaces (55P35) Graded rings and modules (associative rings and algebras) (16W50) Regular local rings (13H05) Homological methods in commutative ring theory (13D99)

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Local Artinian rings and the Fröberg relation ⋮ Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. ⋮ Good and bad Koszul algebras and their Hochschild homology ⋮ On the ranks of homotopy groups of two-cones ⋮ Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos ⋮ Finitely presented graded Lie algebras and homomorphisms of local rings

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