Rudin-Keisler posets of complete Boolean algebras

被引：0

作者：

Jipsen, P

Pinus, A

Rose, H

机构：

[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

[2] Novosibirsk State Tech Univ, Dept Algebra & Math Log, Novosibirsk 630092, Russia

[3] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa

来源：

MATHEMATICAL LOGIC QUARTERLY | 2001年 / 47卷 / 04期

关键词：

Boolean algebra; partitions; Rudin-Keisler ordering;

D O I：

10.1002/1521-3870(200111)47:4<447::AID-MALQ447>3.0.CO;2-W

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Rudin-Keisler ordering of ultrafilters is extended to complete Boolean algebras and characterised in terms of elementary embeddings of Boolean ultrapowers. The result is applied to show that the Rudin-Keisler poset of some atomless complete Boolean algebras is nontrivial.

引用

页码：447 / 454

页数：8