Topological algebras with ascending or descending chain condition

被引：10

作者：

Choukri, R ^{[1
]}

El Kinani, A ^{[1
]}

机构：

[1] Ecole Normale Super, Rabat 10105, Morocco

来源：

ARCHIV DER MATHEMATIK | 1999年 / 72卷 / 06期

关键词：

Left Ideal; Chain Condition; Topological Algebra; Descend Chain Condition;

D O I：

10.1007/s000130050353

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine some topological algebras with ascending or descending chain condition. We prove that a commutative noetherian F-algebra is necessarily a e-algebra. We characterize noetherian F-algebras which are e-algebras among those whose left ideals are closed. We show that any commutative artinian m-convex algebra is finite dimensional.

引用

页码：438 / 443

页数：6