LADDER DETERMINANTAL RINGS

被引:47
作者
CONCA, A
机构
[1] FB 6 Mathematik, Universität-Gesamthochschule Essen, Universitätstr. 3
关键词
D O I
10.1016/0022-4049(94)00039-L
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we show that ladder determinantal rings are normal. In the case of a ladder determinantal ring associated with a one-sided ladder, we compute the divisor class group, the canonical class, and we obtain a characterization of the Gorensteinness in terms of the shape of the ladder.
引用
收藏
页码:119 / 134
页数:16
相关论文
共 13 条
[1]  
ABHYANKAR SS, 1988, ENUMERATIVE COMBINAT
[2]  
BRUNS W, 1988, LECTURE NOTES MATH, V1327
[3]   IDEALS OF GENERIC MINORS [J].
CANIGLIA, L ;
GUCCIONE, JA ;
GUCCIONE, JJ .
COMMUNICATIONS IN ALGEBRA, 1990, 18 (08) :2633-2640
[4]  
FOSSUM R, 1973, DIVISOR CLASS GROUP
[5]  
GRABE HG, 1988, THESIS PADAGOGISCHE
[6]   DIVISOR CLASS-GROUPS OF AFFINE SEMIGROUP RINGS ASSOCIATED WITH DISTRIBUTIVE LATTICES [J].
HASHIMOTO, M ;
HIBI, T ;
NOMA, A .
JOURNAL OF ALGEBRA, 1992, 149 (02) :352-357
[7]   GROBNER BASES AND MULTIPLICITY OF DETERMINANTAL AND PFAFFIAN IDEALS [J].
HERZOG, J ;
TRUNG, NV .
ADVANCES IN MATHEMATICS, 1992, 96 (01) :1-37
[8]  
Herzog J., 1971, LECTURE NOTES MATH, V238
[9]  
Hibi Takayuki, 1987, ADV STUDIES PURE MAT, V11, P93, DOI DOI 10.2969/ASPM/01110093
[10]  
HOCHSTER M, 1977, RING THEORY, V2, P171