On normal Agassiz systems of algebras
Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Displaying similar documents to “Extremal properties for concealed-canonical algebras”
On normal Agassiz systems of algebras
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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...
A review on δ-structurable algebras
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In this paper we give a review on δ-structurable algebras. A connection between Malcev algebras and a generalization of δ-structurable algebras is also given.