Adjunction of pth roots to Dedekind domains and injective modules

被引：0

作者：

Nossem, N ^{[1
]}

机构：

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Dedekind domain; perfect closure; injective modules; characteristic p methods; Frobenius morphism; tight closure; linear growth of primary decompositions;

D O I：

10.1081/AGB-120016761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the case when R is a Dedekind domain of positive prime characteristic p > 0, we give a parameterisation of the isomorphism classes of the injective indecomposable R-infinity-modules. Here R-infinity is the smallest ring extension of R on which the Frobenius morphism acts bijectively. Further, in this case, every injective R-infinity-module is the injective hull of a direct sum of injective indecomposable R-infinity-modules.

引用

页码：309 / 322

页数：14