BOOLEAN VALUED LIE-ALGEBRAS

被引：11

作者：

NISHIMURA, H

机构：

来源：

JOURNAL OF SYMBOLIC LOGIC | 1991年 / 56卷 / 02期

关键词：

D O I：

10.2307/2274714

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study a certain class of Lie algebras over commutative von Neumann algebras satisfying a certain finiteness condition. By using Boolean valued methods developed by Takeuti [8]-[11], we will establish the basic structure and representation theorems.

引用

页码：731 / 741

页数：11

共 15 条

[1]

Dixmier J., 1981, NEUMANN ALGEBRAS

[2]

Kadison R. V., 1986, FUNDAMENTALS THEORY, VII

[3]

Kadison RV., 1986, FUNDAMENTALS THEORY

[4] AN APPROACH TO THE DIMENSION THEORY OF CONTINUOUS GEOMETRY FROM THE STANDPOINT OF BOOLEAN VALUED ANALYSIS [J].