Some axiomatizations of -algebras
Andrzej Walendziak (2006)
Mathematica Slovaca
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Andrzej Walendziak (2006)
Mathematica Slovaca
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Jan Čerych (1980)
Commentationes Mathematicae Universitatis Carolinae
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J. Neggers, Hee Sik Kim (2002)
Matematički Vesnik
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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...
Jerzy Płonka (1973)
Fundamenta Mathematicae
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Radomír Halaš, Jiří Ort (2003)
Mathematica Slovaca
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So, Keum Sook (2011)
International Journal of Mathematics and Mathematical Sciences
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