논문KCI 등재
A structure theorem for complete intersections
2
조회
0
다운로드
3
인용
0
참고문헌
키워드
주제분류수학
초록
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.
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.
참고문헌 (7)
- A. Brown, "A structure theorem for a class of grade three perfect ideals", J. Algebra, 105(2), pp.308~327 (1987)
- D. A. Buchsbaum, "Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3", Amer. J. Math, 99(3), pp.447~485 (1977)
- L. Burch, "On ideals of finite homological dimension in local rings", Proc. Cam. Phil. Soc, 64, pp.941~948 (1968)
- O.-J. Kang, "The structure theorem for complete intersections of grade 4", Algebra Colloq, 12(2), pp.181~197 (2005)
- A. Kustin, "Structure theory for a class of grade four Gorenstein ideals", Trans. Amer. Math. Soc, 270(1), pp.287~307 (1982)
- C. Peskine, "Liaison des vari´et´es alg´ebriques. I", Invent. Math, 26, pp.271~302 (1974)
- R. S´anchez, "A structure theorem for type 3, grade 3 perfect ideals", J. Algebra, 123(2), pp.263~288 (1989)
관련 논문AI추천
On the structure of the grade three perfect ideals of type three강오진, 고형준, 최은정대한수학회 · 대한수학회논문집2008 · 제23권 제4호Structure theorems for some classes of grade four Gorenstein ideals강오진, 고형준, 조영성대한수학회 · 대한수학회보2017 · 제54권 제1호PERFECT IDEALS OF GRADE THREE DEFINED BY SKEW-SYMMETRIZABLE MATRICES고형준, Oh-Jin Kang, Yong Sung Cho대한수학회 · 대한수학회보2012 · 제49권 제4호New construction of the Eagon-Northcott complex강오진, 김주형강원경기수학회 · 한국수학논문집2012 · 제20권 제2호The minimal free resolution of a certain determinantal ideal고형준, 최은정, Seoung J. Won, Young H. Kim대한수학회 · 대한수학회논문집2005 · 제20권 제2호HILBERT FUNCTIONS OF STANDARD k-ALGEBRAS DEFINED BY SKEW-SYMMETRIZABLE MATRICES강오진대한수학회 · 대한수학회지2017 · 제54권 제5호
이 간행물의 다른 논문 (14건)
On the complex oscillation of higher order linear differential equationsLian-Zhong Yang, Kai Liupp. 607-615On complete convergence for weighted sums of i.i.d. random variables with application to moving average processesSoo Hak Sungpp. 617-626Optimal error estimate for semi-discrete gauge-Uzawa method for the Navier-Stokes equationsJae-Hong Pyopp. 627-644On the Hyers-Ulam-Rassias stability of Jensen's equationDongyan Zhang, Jian Wangpp. 645-656MAP_1, MAP_2/G/1 finite queues with service scheduling function dependent upon queue lengthsSang Min Lee, Doo Il Choipp. 673-689