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1. CMB 2000 (vol 43 pp. 100)

Okon, James S.; Vicknair, J. Paul
 A Gorenstein Ring with Larger Dilworth Number than Sperner Number 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. Categories:13E15, 16S34