Poincaré series of compressed local Artinian rings with odd top socle degree

DOI10.1016/j.jalgebra.2018.02.034zbMath1409.13028arXiv1607.05594OpenAlexW2963696933MaRDI QIDQ1645007

Adela Vraciu, Liana M. Şega, Andrew R. Kustin

Publication date: 22 June 2018

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

Full work available at URL: https://arxiv.org/abs/1607.05594

zbMATH Keywords

Poincaré seriesKoszul homologyGrassmanniandifferential graded algebraGolod homomorphismsoclegeneric algebracompressed ringhomology algebra of the Koszul complextrivial Massey operation

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Differential graded algebras and applications (associative algebraic aspects) (16E45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (5)

Generic local rings on a spectrum between Golod and Gorenstein ⋮ DETECTING KOSZULNESS AND RELATED HOMOLOGICAL PROPERTIES FROM THE ALGEBRA STRUCTURE OF KOSZUL HOMOLOGY ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ The resolution of \((x^N,y^N,z^N,w^N)\) ⋮ A survey on the Koszul homology algebra

Uses Software

• Macaulay2

Cites Work

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