Séries de Poincaré et modules inertes. (Poincaré series and inert modules)

DOI10.1016/0021-8693(90)90250-RzbMath0716.13011MaRDI QIDQ752772

Jack Lescot

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriesKoszul complexhypersurface ringGolod ringshomology of local ringsinert modules

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Local rings and semilocal rings (13H99)

Related Items (16)

Growth of Betti numbers of modules over local rings of small embedding codimension or small linkage number ⋮ Existence and Constructions of Totally Reflexive Modules ⋮ Free resolutions and change of rings ⋮ Poincaré series of compressed local Artinian rings with odd top socle degree ⋮ Conditions for the Yoneda algebra of a local ring to be generated in low degrees ⋮ Persistence of homology over commutative Noetherian rings ⋮ Homology of Artinian and Matlis reflexive modules. I. ⋮ The absolutely Koszul property of Veronese subrings and Segre products ⋮ On the growth of the Betti sequence of the canonical module ⋮ Poincaré series of fiber products and weak complete intersection ideals ⋮ Ascent and descent of the Golod property along algebra retracts ⋮ Homology of artinian and mini-max module. II ⋮ Exponential growth of Betti numbers ⋮ Modules cofinite with respect to an ideal ⋮ Asymptotic behavior of dimensions of syzygies ⋮ Construction of modules with finite homological dimensions

Cites Work

• Algebra retracts and Poincaré-series
• Small homomorphisms of local rings
• Bettireihen von Faserprodukten lokaler Ringe
• Large homomorphisms of local rings.
• Poincare Series of Modules Over Local Rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Séries de Poincaré et modules inertes. (Poincaré series and inert modules)