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http://dx.doi.org/10.5831/HMJ.2014.36.3.605

ON A CLASS OF GORENSTEIN IDEALS OF GRADE FOUR  

Cho, Yong S. (Department of Mathematics Education, Mokpo National University)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 605-622 More about this Journal
Abstract
We provide a minimal free resolution for a class of Gorenstein ideal of grade 4 which is the sum of an almost complete intersection J of grade 3 and a perfect ideal I of grade 3 with type 2 and ${\lambda}(I)$ > 0 geometrically linked by a regular sequence, where I is generated by odd elements.
Keywords
almost complete intersection of grade 3; linkage; minimal free resolution; Gorenstein ideal;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 H. Bass, On the ubiquity of Gorenstein rings, Math. Z 82 (1963), 8-28.   DOI
2 A. Brown, A Structure Theorem for a Class of Grade Three Perfect Ideals, J. Algebra 105 (1987), 308-327.   DOI
3 D. A. Buchsbaum and D. Eisenbud, What makes the complex exact?, J. Algebra 25 (1973), 259-268.   DOI
4 D. A. Buchsbaum and D. Eisenbud, Algebra structures for finite free resolutions and some structure theorems for ideals of codimension 3, Amer. J. Math. 99(3) (1977), 447-485.   DOI   ScienceOn
5 Eun Jeong Choi, Oh-Jin Kang, and Hyoung J. Ko, On the structure of the grade three perfect ideals of type three, Commun. Korean Math. Soc. 23(4) (2008), 487-497.   과학기술학회마을   DOI
6 Yong S. Cho, Oh-Jin Kang, and Hyoung J. Ko, Perfect ideals of grade three defined by skew-symmetrizable matrices, Bull. Korean Math. Soc. 49(4) (2012), 715-736.
7 Yong S. Cho, A structure theorem for a class of Gorenstein ideals of grade four, Honam Mathematical J. 36(2) (2014), 387-398.   DOI
8 A. Kustin and M. Miller, Structure theory for a class of grade four Gorenstein ideals, Trans. Amer. Math. Soc. 270 (1982), 287-307.   DOI   ScienceOn
9 E. S. Golod, A note on perfect ideals, from the collection "Algebra" (A. I. Kostrikin,Ed), Moscow State Univ. Publishing House (1980), 37-39.
10 Oh-Jin Kang and Hyoung J. Ko, The structure theorem for Complete Intersections of grade 4, Algebra Collo. 12(2) (2005), 181-197.   DOI
11 C. Peskine and L. Szpiro, Liaison des varietes algebriques, Invent. Math. 26 (1974), 271-302   DOI
12 R. Sanchez, A Structure Theorem for Type 3, Grade 3 Perfect Ideals, J. Algebra 123 (1989), 263-288.   DOI
13 Oh-Jin Kang, Yong S. Cho and Hyoung J. Ko, Structure theory for some classes of grade 3 perfect ideals, J. Algebra 322 (2009), 2680-2708.   DOI   ScienceOn