Pointfree prime representation of real Riesz maps

被引：11

作者：

Feizabadi, A ^{[1
]}

Ebrahimi, M

机构：

[1] Islamic Azad Univ, Dept Math, Gorgan, Iran

[2] Shahid Beheshti Univ, Dept Math, Tehran 19839, Iran

来源：

ALGEBRA UNIVERSALIS | 2005年 / 54卷 / 03期

关键词：

bounded Riesz map; compact frame; prime and cozero elements;

D O I：

10.1007/s00012-005-1945-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In classical topology it is proved, nonconstructively, that for a topological space X, every bounded Riesz map phi in C( X) is of the form (X) over cap for a point x epsilon X. In this paper our main objective is to give the pointfree version of this result. In fact, we constructively represent each real Riesz map on a compact frame M by prime elements.

引用

页码：291 / 299

页数：9