Matlis reflexive modules on complete rings

被引：1

作者：

Jara, P

Santos, E

机构：

[1] Department of Algebra, University of Granada

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1996年 / 106卷 / 01期

关键词：

D O I：

10.1016/0022-4049(95)00012-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we relate the completion introduced in [Bueso et al. (1994)] with the double dual, proving that if M is a sigma-finitely generated R-module, then both notions coincide. In the case of a complete ring we prove a structure theorem for reflexive modules and as a subproduct we obtain that every reflexive module is complete.

引用

页码：77 / 91

页数：15

共 15 条

[1]

AOYAMA K, 1976, HIROSHIMA MATH J, V6, P527

[2] INJECTIVE MODULES OVER A KRULL DOMAIN [J].