Three results on the number of generators of ideals

DOI10.1080/00927879108824209zbMath0736.13019OpenAlexW2127279085MaRDI QIDQ4713440

Juan Elias

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879108824209

zbMATH Keywords

determinantal idealsheightHilbert functionregular local ringnumber of generators of a perfect idealpreassigned multiplicity

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Linkage, complete intersections and determinantal ideals (13C40) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Regular local rings (13H05)

Related Items (2)

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ A note on generators of least degree in Gorenstein ideals

Cites Work

• The Dilworth number of Artin Gorenstein rings
• On the number of generators of ideals in local rings
• A sharp bound for the minimal number of generators of perfect height two ideals
• The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras
• Hilbert functions of graded algebras

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