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http://dx.doi.org/10.4134/BKMS.b150807

STRUCTURE THEOREMS FOR SOME CLASSES OF GRADE FOUR GORENSTEIN IDEALS  

Cho, Yong Sung (Department of mathematics Education Mokpo National University)
Kang, Oh-Jin (Department of General Studies School of Liberal Arts and Sciences Korea Aerospace University)
Ko, Hyoung June (Department of Mathematics Yonsei University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 99-124 More about this Journal
Abstract
The structure theorems [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 [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;
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Times Cited By KSCI : 4  (Citation Analysis)
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