A Gorenstein Ring with Larger Dilworth Number than Sperner Number
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 100-104

Voir la notice de l'article provenant de la source Cambridge University Press

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 $A\left[ {Z}/{pZ}\;\,\oplus \,{Z}/{pZ}\; \right]$ is computed when $A$ is an unramified principal Artin local ring.
DOI : 10.4153/CMB-2000-015-2
Mots-clés : 13E15, 16S34
Okon, James S.; Vicknair, J. Paul. A Gorenstein Ring with Larger Dilworth Number than Sperner Number. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 100-104. doi: 10.4153/CMB-2000-015-2
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