Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2017; 54(1): 99-124

Online first article December 21, 2016      Printed January 31, 2017

https://doi.org/10.4134/BKMS.b150807

Copyright © The Korean Mathematical Society.

Structure theorems for some classes of grade four Gorenstein ideals

Yong Sung Cho, Oh-Jin Kang, and Hyoung June Ko

Mokpo National University, Korea Aerospace University, Yonsei University

Abstract

The structure theorems \cite{3, 6, 21} for the classes of perfect ideals of grade 3 have been generalized to the structure theorems for the classes of perfect ideals linked to almost complete intersections of grade 3 by a regular sequence \cite{15}. In this paper we obtain structure theorems for two classes of Gorenstein ideals of grade 4 expressed as the sum of a perfect ideal of grade 3 (except a Gorenstein ideal of grade 3) and an almost complete intersection of grade 3 which are geometrically linked by a regular sequence.

Keywords: Gorenstein ideal of grade 4, linkage, minimal free resolution, perfect ideal of grade 3

MSC numbers: 13C05, 13H10, 13C02, 13C40