Segre and Rees products of posets, with ring-theoretic applications

被引：13

作者：

Björner, A

Welker, V ^{[1
]}

机构：

[1] Univ Marburg, Fachbereich Math & Informat, D-35032 Marburg, Germany

[2] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2005年 / 198卷 / 1-3期

关键词：

D O I：

10.1016/j.jpaa.2004.11.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce (weighted) Segre and Rees products for posets and show that these constructions preserve the Cohen-Macaulay property over a field k and homotopically. As an application we show that the weighted Segre product of two affine semigroup rings that are Koszul is again Koszul. This result generalizes previous results by Crona on weighted Segre products of polynomial rings. We also give a new proof of the fact that the Rees ring of a Koszul affine semigroup ring is again Koszul. The paper ends with a list of some open problems in the area. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：43 / 55

页数：13

共 20 条

[1]

[Anonymous], 1995, TOPOLOGICAL METHODS

[2] Finite regularity and Koszul algebras [J].