Subalgebras of bigraded Koszul algebras

被引：14

作者：

Blum, S ^{[1
]}

机构：

[1] Univ Essen Gesamthsch, Math & Informat FB6, D-45117 Essen, Germany

来源：

JOURNAL OF ALGEBRA | 2001年 / 242卷 / 02期

关键词：

D O I：

10.1006/jabr.2001.8804

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that diagonal subalgebras and generalized Veronese subrings of a bigraded Koszul algebra are Koszul. We give upper bounds for the regularity of side-diagonal and relative Veronese modules and apply the results to symmetric algebras and Rees rings. (C) 2001 Academic Press.

引用

页码：795 / 809

页数：15

共 15 条

[1] Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions [J].

Aramova, A ;

Crona, K ;

De Negri, E .

JOURNAL OF PURE AND APPLIED ALGEBRA, 2000, 150 (03) :215-235

[2]

Aramova A., 1995, REV ROUM MATH PURES, V40, P243

[3] REGULARITY OF MODULES OVER A KOSZUL ALGEBRA [J].

AVRAMOV, LL ;

EISENBUD, D .

JOURNAL OF ALGEBRA, 1992, 153 (01) :85-90

[4]

BACKELIN J, 1986, LECT NOTES MATH, V1183, P79

[5]

Backelin J., 1980, REV ROUMAINE MATH PU, V30, P85

[6]

Bruns W., 1993, CAMBRIDGE STUDIES AD, V39

[7] Diagonal subalgebras of bigraded algebras and embeddings of blow-ups of projective spaces [J].

Conca, A ;

Herzog, J ;

Trung, NV ;

Valla, G .

AMERICAN JOURNAL OF MATHEMATICS, 1997, 119 (04) :859-901

[8]

EISENBUD D, 1995, GRADUATE TEXTS MATH, V150

[9]

Fröberg R, 1999, LECT NOTES PURE APPL, V205, P337

[10] ALGEBRA RETRACTS AND POINCARE-SERIES [J].

HERZOG, J .

MANUSCRIPTA MATHEMATICA, 1977, 21 (04) :307-314

← 1 2 →