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On the Length of Faithful Modules over Artinian Local Rings.

Tor H. Gulliksen — 1972

Mathematica Scandinavica

A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.

Tor H. Gulliksen — 1974

Mathematica Scandinavica

On the Hilbert series of the homology of differential gaded algebras.

Tor H. Gulliksen — 1980

Mathematica Scandinavica

Some reduction formulas for the Poincaré series of modules

Franco Ghione; Tor H. Gulliksen — 1975

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Sia $(R,\mathfrak{m})$ un anello locale, e $M$ un modulo di tipo finito su di esso. Si danno alcuni risultati sulla razionalità della serie di Poincaré di $M:P^{R}_{M}(t)=\sum_{p=0}^{\infty}\dim_{k}\,\operatorname{Tor}^{R}_{p}(k,M)t^{p}$ , $k=R/\mathfrak{m}$ provando in casi particolari la verità di una congettura di Serre-Kaplanski.

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Currently displaying 1 – 4 of 4

On the Length of Faithful Modules over Artinian Local Rings.

A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.

On the Hilbert series of the homology of differential gaded algebras.

Some reduction formulas for the Poincaré series of modules