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http://dx.doi.org/10.4134/CKMS.2008.23.4.487

ON THE STRUCTURE OF THE GRADE THREE PERFECT IDEALS OF TYPE THREE  

Choi, Eun-Jeong (UNIVERSITY COLLEGE YONSEI UNIVERSITY)
Kang, Oh-Jin (DEPARTMENT OF MATHEMATICS SCIENCE OF COLLEGE UNIVERSITY OF INCHEON)
Ko, Hyoung-June (DEPARTMENT OF MATHEMATICS YONSEI UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.23, no.4, 2008 , pp. 487-497 More about this Journal
Abstract
Buchsbaum and Eisenbud showed that every Gorenstein ideal of grade 3 is generated by the submaximal order pfaffians of an alternating matrix. In this paper, we describe a method for constructing a class of type 3, grade 3, perfect ideals which are not Gorenstein. We also prove that they are algebraically linked to an even type grade 3 almost complete intersection.
Keywords
perfect ideal of grade 3; skew-symmetrizable matrix; minimal free resolution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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