A superatomic Boolean algebra with few automorphisms |
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| Authors: | Matatyahu Rubin Sabine Koppelberg |
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| Institution: | Ben Gurion University, Beer Sheva, Israel e-mail: mati@cs.bgu.ac.il, IL
Freie Universit?t Berlin, Institut für Mathematik II, Arnimallee 3, 14195 Berlin, Germany e-mail: sabina@math.fu-berlin.de, DE
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| Abstract: | 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].
Received: 1 January 1998 / Revised version: 18 May 1999 / Published online: 21 December 2000 |
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| Keywords: | Mathematics Subject Classification (2000): 03E05 06E05 |
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