Search: MSC category 13E15
( Rings and modules of finite generation or presentation; number of generators )
1. CMB 2000 (vol 43 pp. 100)
||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.