Commutative rings, algebraic topology, graded Lie algebras and the work of Jan-Erik Roos

DOI10.1016/0022-4049(85)90001-5zbMath0574.18008OpenAlexW2080686774WikidataQ115364461 ScholiaQ115364461MaRDI QIDQ1063679

David J. Anick, Stephen Halperin

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)90001-5

zbMATH Keywords

Poincaré serieslocal ringsloop spacerational homotopygraded algebrasurvey. Roos, J.-E

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Loop spaces (55P35) Graded Lie (super)algebras (17B70) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Research exposition (monographs, survey articles) pertaining to category theory (18-02)

Related Items (1)

Daniel Quillen, the father of abstract homotopy theory

Cites Work

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• The radius of convergence of Poincaré series of loop spaces
• Non-commutative graded algebras and their Hilbert series
• Algèbres connexes et homologie des espaces de lacets
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• Factoring out the socle of a Gorenstein ring
• The homotopy Lie algebra for finite complexes
• Homology and fibrations I: Coalgebras, cotensor product and its derived functors
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• Massey operations and the Poincaré series of certain local rings
• Poincaré-Betti Series are Primitive Recursive
• Determination of a class of Poincaré series.

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