Completion of Modules over Serial, Right Noetherian Rings

被引：0
|
作者：
A. I. Generalov
I. M. Zilberbord
机构：
[1] St.Petersburg State University,
来源：
Journal of Mathematical Sciences | 2004年 / 120卷 / 4期
关键词：
Noetherian Ring; Serial Ring; Linear Topology; Injective Envelope; Pure Injective Envelope;
D O I：
10.1023/B:JOTH.0000017887.20917.3d
中图分类号：
学科分类号：
摘要：
Linear topology defined on an arbitrary right module over a right Noetherian serial ring R enables one to describe the reduced, pure injective R-modules as modules that are complete in this topology. With the use of the completion of modules, the pure injective envelope of any right R-module is constructed. Bibliography: 8 titles.
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页码：1583 / 1590
页数：7
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