On the homology of associative algebras

Author:

Anick David J.

Abstract

We present a new free resolution for k k as an G G -module, where G G is an associative augmented algebra over a field k k . The resolution reflects the combinatorial properties of G G .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Noncommutative graded algebras and their Hilbert series;Anick, David J.;J. Algebra,1982

2. Hilbert series of finitely presented algebras;Anick, David,1986

3. La série de Poincaré-Betti d’une algèbre graduée de type fini à une relation est rationnelle;Backelin, Jörgen;C. R. Acad. Sci. Paris S\'{e}r. A-B,1978

4. Les anneaux locaux à relations monomiales ont des séries de Poincaré-Betti rationnelles;Backelin, Jörgen;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1982

5. Koszul algebras, Veronese subrings and rings with linear resolutions;Backelin, Jörgen;Rev. Roumaine Math. Pures Appl.,1985

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