Topological algebras with ascending or descending chain condition

被引：0

作者：

R. Choukri

A. El Kinani

机构：

[1] Ecole Normale Supérieure,

[2] B.P. 5118 Takaddoum,undefined

[3] 10105 Rabat,undefined

[4] Morocco,undefined

来源：

Archiv der Mathematik | 1999年 / 72卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We examine some topological algebras with ascending or descending chain condition. We prove that a commutative noetherian F-algebra is necessarily a Q-algebra. We characterize noetherian F-algebras which are Q-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：5