JOURNAL BROWSE
Search
Advanced SearchSearch Tips
ON THE STRUCTURE OF THE GRADE THREE PERFECT IDEALS OF TYPE THREE
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
ON THE STRUCTURE OF THE GRADE THREE PERFECT IDEALS OF TYPE THREE
Choi, Eun-Jeong; Kang, Oh-Jin; Ko, Hyoung-June;
  PDF(new window)
 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;
 Language
English
 Cited by
1.
PERFECT IDEALS OF GRADE THREE DEFINED BY SKEW-SYMMETRIZABLE MATRICES,;;;

대한수학회보, 2012. vol.49. 4, pp.715-736 crossref(new window)
2.
ON A CLASS OF GORENSTEIN IDEALS OF GRADE FOUR,;

호남수학학술지, 2014. vol.36. 3, pp.605-622 crossref(new window)
1.
The Structure for Some Classes of Grade Three Perfect Ideals, Communications in Algebra, 2011, 39, 9, 3435  crossref(new windwow)
2.
ON A CLASS OF GORENSTEIN IDEALS OF GRADE FOUR, Honam Mathematical Journal, 2014, 36, 3, 605  crossref(new windwow)
3.
PERFECT IDEALS OF GRADE THREE DEFINED BY SKEW-SYMMETRIZABLE MATRICES, Bulletin of the Korean Mathematical Society, 2012, 49, 4, 715  crossref(new windwow)
 References
1.
H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28 crossref(new window)

2.
A. Brown, A structure theorem for a class of grade three perfect ideals, J. Algebra 105 (1987), 308-327 crossref(new window)

3.
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 (1977), no. 3, 447-485 crossref(new window)

4.
L. Burch, On ideals of finite homological dimension in local rings, Proc. Cambridge Philos. Soc 64 (1968), 941-948 crossref(new window)

5.
E. S. Golod, A note on perfect ideals, from the collection "Algebra" (A. I. Kostrikin, Ed), Moscow State Univ. Publishing House (1980), 37-39

6.
O.-J. Kang and H. J. Ko, The structure theorem for Complete Intersections of grade 4, Algebra. Collo. 12 (2005), no. 2, 181-197 crossref(new window)

7.
O.-J. Kang, Structure theorem for perfect ideals of grade g, Comm. Korean. Math. Soc. 21 (2006), no 4, 613-630 crossref(new window)

8.
A. Kustin and M. Miller, Structure theory for a class of grade four Gorenstein ideals, Trans. Amer. Math. Soc. 270 (1982), 287-307 crossref(new window)

9.
C. Peskine and L. Szpiro, Liaison des varietes algebriques, Invent. Math. 26 (1974), 271-302 crossref(new window)

10.
R. Sanchez, A structure theorem for type 3, grade 3 perfect ideals, J. Algebra 123 (1989), 263-288 crossref(new window)