Independence in a certain class of abstract algebras
W. Narkiewicz (1962)
Fundamenta Mathematicae
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W. Narkiewicz (1962)
Fundamenta Mathematicae
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Kazimierz Urbanik (1966)
Colloquium Mathematicum
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Edward Marczewski (1966)
Colloquium Mathematicum
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Jan Mycielski (1964)
Colloquium Mathematicae
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Jerzy Płonka (1966)
Colloquium Mathematicae
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G. Grätzer (1967)
Colloquium Mathematicae
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J. Płonka (1966)
Colloquium Mathematicae
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P. Burmeister, J. Schmidt (1967)
Colloquium Mathematicae
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J. Słomiński
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J. Płonka (1967)
Colloquium Mathematicae
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Jerzy Płonka (1973)
Fundamenta Mathematicae
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Schmidt Jürgen (1970)
Colloquium Mathematicae
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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...
S. Fajtlowicz, K. Głazek (1967)
Colloquium Mathematicae
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Siemion Fajtlowicz, Kazimierz Głazek, Kazimierz Urbanik (1966)
Colloquium Mathematicum
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W. Narkiewicz (1963)
Fundamenta Mathematicae
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