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A Gorenstein Ring with Larger Dilworth Number than Sperner Number

  Published:2000-03-01
 Printed: Mar 2000
  • James S. Okon
  • J. Paul Vicknair
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Abstract

A counterexample is given to a conjecture of Ikeda by finding a class of Gorenstein rings of embedding dimension $3$ with larger Dilworth number than Sperner number. The Dilworth number of $A[Z/pZ\oplus Z/pZ]$ is computed when $A$ is an unramified principal Artin local ring.
MSC Classifications: 13E15, 16S34 show english descriptions Rings and modules of finite generation or presentation; number of generators
Group rings [See also 20C05, 20C07], Laurent polynomial rings
13E15 - Rings and modules of finite generation or presentation; number of generators
16S34 - Group rings [See also 20C05, 20C07], Laurent polynomial rings
 

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