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.

引用

页码：1583 / 1590

页数：7

共 8 条

[1] Generalov A. I.(2000)Basic submodules of modules over serial, right Noetherian rings. I Zap. Nauchn. Semin. POMI 272 129-143
[2] Zilberbord I. M.(2001)Basic submodules of modules over serial, right Noetherian rings. II Zap. Nauchn. Semin. POMI 281 154-169
[3] Generalov A. I.(1986)Inductively closed proper classes over bounded hnp-rings Algebra Logika 25 384-404
[4] Zilberbord I. M.(1988)Serial rings with right Krull dimension one. II J. Algebra 117 99-116
[5] Generalov A. I.(1984)Serial right noetherian rings Canad. J. Math. 36 22-37
[6] Wright M. H.(1969)Purity and algebraic compactness for modules Pacific J. Math. 28 699-719
[7] Singh S.(undefined)undefined undefined undefined undefined-undefined
[8] Warfield R. B.(undefined)undefined undefined undefined undefined-undefined

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