On a problem of Sikorski in the set representability of Boolean algebras
Robert Lagrange (1974)
Colloquium Mathematicae
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Robert Lagrange (1974)
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.
M. J. Mączyński (1973)
Colloquium Mathematicae
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R. Balbes, Ph. Dwinger (1971)
Colloquium Mathematicae
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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 (1978)
Colloquium Mathematicae
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Ivan Chajda, Günther Eigenthaler (2009)
Discussiones Mathematicae - General Algebra and Applications
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De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).
J. Shreider (1975)
Colloquium Mathematicae
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Žarko Mijajlović (1979)
Publications de l'Institut Mathématique
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Janusz Czelakowski (1981)
Colloquium Mathematicae
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Alexander Abian (1974)
Colloquium Mathematicae
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A. Kamburelis, M. Kutyłowski (1986)
Colloquium Mathematicae
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Peter G. Dodds, Ben de Pagter (1984)
Mathematische Zeitschrift
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Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Martin Gavalec (1981)
Colloquium Mathematicae
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