Concepedia

A Gorenstein Ring with Larger Dilworth Number than Sperner Number

James S. Okon, J. Paul Vicknair

Canadian Mathematical Bulletin · 2000 · 11 citations · 7 references

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Abstract

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 is computed when A is an unramified principal Artin local ring.

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