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Explicit linear minimal free resolutions over a natural class of Rees algebras
被引：0
作者：
J. Herzog
L. O’Carroll
D. Popescu
机构：
[1] Universität-GHS Essen,Fachbereich Mathematik
[2] University of Edinburgh,Department of Mathematics and Statistics
[3] University of Bucharest,Institute of Mathematics
来源：
Archiv der Mathematik
|
2003年
/
81卷
关键词：
13D02;
13C13;
13A02;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Homological properties of the Rees algebra R
of a Koszul K-algebra A
over a field K, with respect to the maximal
homogeneous ideal, are studied. In particular, for a finitely generated graded
A-module N
with linear minimal free R-resolution over
A, the minimal free resolution of
\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}
$$ N \otimes_{A} R $$
\end{document}
is explicitly constructed. This resolution is again linear.
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页码：636 / 645
页数：9
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