The Dilworth lattice of Artinian rings

DOI10.1216/JCA-2009-1-2-315zbMath1189.13018OpenAlexW2031608386MaRDI QIDQ847959

Junzo Watanabe, Hidemi Ikeda

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1216/jca-2009-1-2-315

zbMATH Keywords

antichainSperner propertyDilworth latticefinite chain product

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Regular local rings (13H05)

Related Items

On ideals with the Rees property, The EGH Conjecture and the Sperner property of complete intersections, Artinian algebras and Jordan type

Cites Work

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• The upper bound of the Dilworth number and the Rees number of Noetherian local rings with a Hilbert function
• An application of Dilworth's lattice of maximal antichains
• m-full ideals
• A note on complete intersections of height three
• The dilworth number and rees number of one-dimensional modules