Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2009; 46(4): 657-671

Printed July 1, 2009

https://doi.org/10.4134/BKMS.2009.46.4.657

Copyright © The Korean Mathematical Society.

A structure theorem for complete intersections

Eun Jeong Choi, Oh-Jin Kang, and Hyoung J. Ko

Yonsei University, University of Incheon, and Yonsei University

Abstract

Buchsbaum and Eisenbud proved a structure theorem for Gorenstein ideals of grade 3. In this paper we derive a class of the perfect ideals from a class of the complete matrices. From this we give a structure theorem for complete intersections of grade $g> 3$.

Keywords: complete intersection of grade $g$, structure theorem

MSC numbers: 13C05, 13C14, 13C40, 14M10

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