The upper bound of the Dilworth number and the Rees number of Noetherian local rings with a Hilbert function

DOI10.1006/aima.1996.0082zbMath0874.13014OpenAlexW2060815635MaRDI QIDQ677481

Hidemi Sekiguchi

Publication date: 1 June 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1996.0082

zbMATH Keywords

Hilbert functionminimal number of generatorsDilworth numberRees number

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15)

Related Items (7)

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ The weak Lefschetz property for monomial ideals of small type ⋮ The Dilworth lattice of Artinian rings ⋮ Secant varieties of the varieties of reducible hypersurfaces in \(\mathbb{P}^n\) ⋮ Syzygy bundles and the weak Lefschetz property of monomial almost complete intersections ⋮ Artinian algebras and Jordan type ⋮ The dilworth number of group rings over an artin local ring

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