Generalized "Boolean" theory of universal algebras. Part I.
Alfred L. Foster (1953)
Mathematische Zeitschrift
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Displaying similar documents to “On the representation of Boolean algebras as fields of sets”
Generalized "Boolean" theory of universal algebras. Part I.
On some fundamental problems concerning isomorphism of Boolean algebras
WILLIAM HANF (1957)
Mathematica Scandinavica
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Implicative Boolean Algebra
Arthur H. COPELAND (1950)
Mathematische Zeitschrift
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Generalized "Boolean" theory of universal algebras. Part II. Identities and subdirect sums of functionally complete algebras.
Alfred L. Foster (1953/54)
Mathematische Zeitschrift
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A Generalization of Boolean Rings.
I. Sussman (1958)
Mathematische Annalen
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On the realization of Boolean algebras by algebras of sets.
E.M. Левинсон ([unknown])
Matematiceskij sbornik
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On Algebras for which Every Faithful Representation is its Own Second Commutator.
Kiiti Morita (1958)
Mathematische Zeitschrift
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A common approach to directoids with an antitone involution and D-quasirings
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.
Free Products of ...-Distributive Boolean Algebras.
R.S. Pierce, D.J. Christensen (1959)
Mathematica Scandinavica
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Boolean valued rings
E. Ellentuck (1977)
Fundamenta Mathematicae
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On commuting properties of endomorphisms of formal A-modules over finite fields
Hua-Chieh Li (2005)
Acta Arithmetica
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Structure theory for a generalised Boolean ring.
N.V. SUBRAHMANYAM (1960)
Mathematische Annalen
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An Existence Theorem for Functionally Complete Universal Algebras.
Alfred L. Foster (1959)
Mathematische Zeitschrift
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Two constructions of De Morgan algebras and De Morgan quasirings
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).