Gorenstein rings with transcendental Poincaré-series.

DOI10.7146/math.scand.a-12010zbMath0527.13013OpenAlexW2538010111MaRDI QIDQ3043276

Rikard Bøgvad

Publication date: 1983

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166848

zbMATH Keywords

loop spaceGorenstein ringsBass seriestranscendental Poincare-series

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Loop spaces (55P35) Homological methods in commutative ring theory (13D99) Local rings and semilocal rings (13H99)

Related Items (13)

A note on Gorenstein dimension and the Auslander-Buchsbaum formula ⋮ Vanishing of cohomology over Gorenstein rings of small codimension ⋮ Idealization of a module ⋮ Poincaré series of compressed local Artinian rings with odd top socle degree ⋮ Poincaré series of modules over local rings of small embedding codepth or small linking number ⋮ Chow rings of matroids are Koszul ⋮ Three-dimensional manifolds, skew-Gorenstein rings and their cohomology. ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers ⋮ The explicit minimal resolution constructed from a Macaulay inverse system ⋮ A family of local rings with rational Poincaré series ⋮ A criterion for modules over Gorenstein local rings to have rational Poincaré series ⋮ Isomorphism classes of short Gorenstein local rings via Macaulay’s inverse system

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