Poincaré series of fiber products and weak complete intersection ideals

DOI10.1016/j.jalgebra.2017.11.024zbMath1426.13006OpenAlexW2770764203MaRDI QIDQ683504

Zheng Yang, Hamidreza Rahmati, Janet Striuli

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.024

zbMATH Keywords

Poincaré serieslocal ringGolod homomorphismfiber productGolod ringweak complete intersection

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (4)

Generators of Koszul homology with coefficients in a \(J\)-closed module ⋮ Minimal free resolutions of fiber products ⋮ Lower bounds for Betti numbers over fiber product rings ⋮ The Golod property for powers of ideals and Koszul ideals

Cites Work

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• Ascent and descent of the Golod property along algebra retracts
• Séries de Poincaré et modules inertes. (Poincaré series and inert modules)
• Local rings and Golod homomorphisms
• Generic free resolutions and a family of generically perfect ideals
• Retracts of polynomial rings
• Algebra retracts and Poincaré-series
• Golodideale der Gestalt \(\mathfrak a\cap\mathfrak b\)
• Bettireihen von Faserprodukten lokaler Ringe
• Ideals generated by \(R\)-sequences
• The Poincaré series of a local ring
• Connected sums of Gorenstein local rings
• Large homomorphisms of local rings.
• Ulrich ideals and modules

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