On automorphism groups of boolean algebras
L. Varecza (1974)
Matematički Vesnik
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L. Varecza (1974)
Matematički Vesnik
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L. Varecza (1977)
Matematički Vesnik
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A. Bella, A. Dow, K. P. Hart, M. Hrusak, J. van Mill, P. Ursino (2002)
Fundamenta Mathematicae
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Given a Boolean algebra 𝔹 and an embedding e:𝔹 → 𝓟(ℕ)/fin we consider the possibility of extending each or some automorphism of 𝔹 to the whole 𝓟(ℕ)/fin. Among other things, we show, assuming CH, that for a wide class of Boolean algebras there are embeddings for which no non-trivial automorphism can be extended.
Fuhrken, G. (1973)
Portugaliae mathematica
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J.Donald Monk (1975)
Mathematische Annalen
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Kureš, Miroslav, Sehnal, David (2007)
Lobachevskii Journal of Mathematics
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Lee, Sin-Min (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Marek Balcerzak, Artur Bartoszewicz, Piotr Koszmider (2004)
Colloquium Mathematicae
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We construct algebras of sets which are not MB-representable. The existence of such algebras was previously known under additional set-theoretic assumptions. On the other hand, we prove that every Boolean algebra is isomorphic to an MB-representable algebra of sets.
J. Płonka (1979)
Colloquium Mathematicae
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R. Balbes, Ph. Dwinger (1971)
Colloquium Mathematicae
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M. Kitazume (1987)
Inventiones mathematicae
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