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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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.
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.
Brian A. Davey (1982)
Colloquium Mathematicae
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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.
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).
Robert Lagrange (1974)
Colloquium Mathematicae
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Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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E.M. Левинсон ([unknown])
Matematiceskij sbornik
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A. V. Figallo, Claudia A. Sanza, Alicia Ziliani (2005)
Mathematica Bohemica
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Some functional representation theorems for monadic -valued Łukasiewicz algebras (qLk-algebras, for short) are given. Bearing in mind some of the results established by G. Georgescu and C. Vraciu (Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cercet. Mat. 23 (1971), 1027–1048) and P. Halmos (Algebraic Logic, Chelsea, New York, 1962), two functional representation theorems for qLk-algebras are obtained. Besides, rich qLk-algebras are introduced and characterized....
Janusz Czelakowski (1978)
Colloquium Mathematicae
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