A Gorenstein Ring with Larger Dilworth Number than Sperner Number

DOI10.4153/CMB-2000-015-2zbMath0984.13010OpenAlexW2008721850MaRDI QIDQ4487054

J. Paul Vicknair, J. S. Okon

Publication date: 14 May 2002

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2000-015-2

zbMATH Keywords

characteristic \(p\)number of generatorsgroup ringsDilworth numberGorenstein Artin local ringsSperner numbers

Mathematics Subject Classification ID

Group rings (16S34) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

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GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group

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