Boolean Algebras of Commuting Projections.
Mehmet Orhon (1983)
Mathematische Zeitschrift
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Mehmet Orhon (1983)
Mathematische Zeitschrift
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Peter G. Dodds, Ben de Pagter (1984)
Mathematische Zeitschrift
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Raymond Balbes (1970)
Mathematische Zeitschrift
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Awad A. Iskander (1972)
Mathematische Zeitschrift
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N.V. Subrahmanyam (1965)
Mathematische Zeitschrift
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N.V. Subrahmanyam (1964)
Mathematische Zeitschrift
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Alfred L. Foster (1953)
Mathematische Zeitschrift
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Robert Lagrange (1974)
Colloquium Mathematicae
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Matthew I. Gould, George Grätzer (1967)
Mathematische Zeitschrift
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Brian Wynne (2008)
Fundamenta Mathematicae
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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.
Janusz Czelakowski (1981)
Colloquium Mathematicae
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Brian A. Davey, Heinrich Werner (1979)
Mathematische Zeitschrift
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Janusz Czelakowski (1978)
Colloquium Mathematicae
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Martin Gavalec (1981)
Colloquium Mathematicae
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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.