Isomorphism Classes of Certain Artinian Gorenstein Algebras

被引：14

作者：

Elias, Juan ^{[1
]}

Valla, Giuseppe ^{[2
]}

机构：

[1] Univ Barcelona, Dept Algebra & Geometria, E-08007 Barcelona, Spain

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2011年 / 14卷 / 03期

关键词：

Gorenstein ideals; Artinian rings; Hilbert functions; Isomorphism classes;

D O I：

10.1007/s10468-009-9196-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we attack the problem of the classification, up to analytic isomorphism, of Artinian Gorenstein local k-algebras with a given Hilbert Function. We solve the problem in the case the square of the maximal ideal is minimally generated by two elements and the socle degree is high enough.

引用

页码：429 / 448

页数：20