Correction to the paper "Reduced direct products"
T. Frayne, A. Morel, D. Scott (1964)
Fundamenta Mathematicae
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T. Frayne, A. Morel, D. Scott (1964)
Fundamenta Mathematicae
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T. Traczyk (1964)
Colloquium Mathematicae
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Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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J. Anusiak, B. Weglorz (1970)
Colloquium Mathematicae
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Giuliana Gnani, Giuliano Mazzanti (1999)
Rendiconti del Seminario Matematico della Università di Padova
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R. Balbes, Ph. Dwinger (1971)
Colloquium Mathematicae
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Roman Sikorski (1952)
Fundamenta Mathematicae
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B. Węglorz (1966)
Fundamenta 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.
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...
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.
Tarek Sayed Ahmed (2002)
Fundamenta Mathematicae
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...
Bernhard Banaschewski, Evelyn Nelson (1973)
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.
Brian A. Davey (1982)
Colloquium Mathematicae
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