Coproducts of Boolean algebras and chains with applications to Post algebras
R. Balbes, Ph. Dwinger (1971)
Colloquium Mathematicae
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R. Balbes, Ph. Dwinger (1971)
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).
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.
Robert Lagrange (1974)
Colloquium Mathematicae
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Ivan Chajda, Miroslav Kolařík (2008)
Discussiones Mathematicae - General Algebra and Applications
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We introduce the so-called DN-algebra whose axiomatic system is a common axiomatization of directoids with an antitone involution and the so-called D-quasiring. It generalizes the concept of Newman algebras (introduced by H. Dobbertin) for a common axiomatization of Boolean algebras and Boolean rings.
М.Х. Стон ([unknown])
Matematiceskij sbornik
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Janusz Czelakowski (1978)
Colloquium Mathematicae
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Gabriele Ricci (2010)
Discussiones Mathematicae - General Algebra and Applications
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We propose the notion of flocks, which formerly were introduced only in based algebras, for any universal algebra. This generalization keeps the main properties we know from vector spaces, e.g. a closure system that extends the subalgebra one. It comes from the idempotent elementary functions, we call "interpolators", that in case of vector spaces merely are linear functions with normalized coefficients. The main example, we consider outside vector spaces, concerns...
Michał M. Stronkowski (2018)
Bulletin of the Section of Logic
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We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras.
Tahsin Oner, Ibrahim Senturk (2017)
Open Mathematics
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Peter G. Dodds, Ben de Pagter (1984)
Mathematische Zeitschrift
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Žarko Mijajlović (1979)
Publications de l'Institut Mathématique
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