Cyclic Boolean algebras and Galois fields
Cendra, H. (1980)
Portugaliae mathematica
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Cendra, H. (1980)
Portugaliae mathematica
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Szeto, George, Xue, Lianyong (2003)
International Journal of Mathematics and Mathematical Sciences
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G. Szeto, Yuen-Fat Wong (1987)
Matematički Vesnik
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L. Varecza (1979)
Matematički Vesnik
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Edith Vargas (2010)
Discussiones Mathematicae - General Algebra and Applications
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We introduce a special set of relations called clausal relations. We study a Galois connection Pol-CInv between the set of all finitary operations on a finite set D and the set of clausal relations, which is a restricted version of the Galois connection Pol-Inv. We define C-clones as the Galois closed sets of operations with respect to Pol-CInv and describe the lattice of all C-clones for the Boolean case D = {0,1}. Finally we prove certain results about C-clones over a larger set. ...
Robert Lagrange (1974)
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 (1981)
Colloquium Mathematicae
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Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
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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.
Szeto, George, Xue, Lianyong (2002)
International Journal of Mathematics and Mathematical Sciences
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Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
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A. Fröhlich (1964)
Journal für die reine und angewandte Mathematik
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