Artinian Gorenstein algebras that are free extensions over \(k[t]/(t^n)\), and Macaulay duality

DOI10.1216/jca.2022.14.553OpenAlexW4309223605MaRDI QIDQ2108568

Chris McDaniel, Pedro Macias Marques, Anthony A. Iarrobino

Publication date: 19 December 2022

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

Full work available at URL: https://arxiv.org/abs/1807.02881

zbMATH Keywords

Hilbert functioninvariantGorenstein algebratensor productfree extensionArtinian algebraLefschetz property

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50) Fibrations, degenerations in algebraic geometry (14D06) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (2)

Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four ⋮ Free extensions and Jordan type

Cites Work

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• Associated graded algebra of a Gorenstein Artin algebra
• Free extensions and Lefschetz properties, with an application to rings of relative coinvariants
• Hopf Algebras and Multiplicative Fibrations, I
• Finite Unitary Reflection Groups

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