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.
Yong Sung Cho, Oh-Jin Kang, and Hyoung June Ko
Mokpo National University, Korea Aerospace University, Yonsei University
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
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