A superatomic Boolean algebra with few automorphisms

被引：0
|
作者：
Matatyahu Rubin
Sabine Koppelberg
机构：
[1] Ben Gurion University,
[2] Beer Sheva,undefined
[3] Israel e-mail: mati@cs.bgu.ac.il,undefined
[4] Freie Universität Berlin,undefined
[5] Institut für Mathematik II,undefined
[6] Arnimallee 3,undefined
[7] 14195 Berlin,undefined
[8] Germany e-mail: sabina@math.fu-berlin.de,undefined
来源：
Archive for Mathematical Logic | 2001年 / 40卷
关键词：
Mathematics Subject Classification (2000): 03E05, 06E05; Key words or phrases: Superatomic Boolean algebra – Automorphism;
D O I：
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学科分类号：
摘要：
Assuming GCH, we prove that for every successor cardinal μ > ω1, there is a superatomic Boolean algebra B such that |B| = 2μ and |Aut B| = μ. Under ◊ω1, the same holds for μ = ω1. This answers Monk's Question 80 in [Mo].
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页码：125 / 129
页数：4
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