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.
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页码：447 / 454
页数：8
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