Free Products of ...-Distributive Boolean Algebras.
R.S. Pierce, D.J. Christensen (1959)
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R.S. Pierce, D.J. Christensen (1959)
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Philip Olin (1976)
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Torleiv Klove (1973)
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J. Mykkeltveit, Ernst S. Selmer (1973)
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Alfred L. Foster (1953)
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Roman Sikorski (1948)
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Robert Lagrange (1974)
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Ivan Chajda, Miroslav Kolařík (2008)
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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.
Ivan Chajda, Günther Eigenthaler (2009)
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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).
Brian Wynne (2008)
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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.
J.R. Isbell (1965)
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Janusz Czelakowski (1981)
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Janusz Czelakowski (1978)
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Frank Harary, Gordon W. Wilcox (1967)
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