論Gorenstein理想的生成元

Abstract

本論文中，我們計算某些情況下 Gorenstein 理想的生成元。我們對於三項式的情況給了一個更簡潔的結果與證明，並且也討論一種特別的四項式形式的情況。我們只給出生成元的首項, 而整個生成元可以由證明的過程中得出。

In this paper, we compute the generators of Gorenstein ideals in some special case. We give a conciser result and simplified the proof of the trinomial case and discuss a quadrinomial of some form. We just give the leading terms of the generators. And the entire generators can be written out in the process of the proofs.