The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras

DOI10.1016/0021-8693(87)90050-0zbMath0628.13016OpenAlexW2078347655MaRDI QIDQ1092962

Juan Elias, Anthony A. Iarrobino

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90050-0

zbMATH Keywords

multiplicityorderregular local ringGorensteinsocle degreeCohen-Macaulay quotientHilbert series of a compressed algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Regular local rings (13H05) Homological methods in commutative ring theory (13D99)

Related Items

Unnamed Item, Number of generators of ideals, The equations defining blowup algebras of height three Gorenstein ideals, Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra, The structure of the inverse system of level \(K\)-algebras, Unnamed Item, Three results on the number of generators of ideals, Analytic isomorphisms of compressed local algebras, Rigid Hilbert functions, A sharp bound for the minimal number of generators of perfect height two ideals

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