On the join of equational classes of idempotent algebras and algebras with constants
J. Płonka (1973)
Colloquium Mathematicae
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Displaying similar documents to “A representation theorem for idempotent medial algebras”
On the join of equational classes of idempotent algebras and algebras with constants
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International Journal of Mathematics and Mathematical Sciences
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Evelyn Nelson (1974)
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The class of 2-dimensional neat reducts is not elementary
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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...
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