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A finitely based theory of a non-trivial language, with exactly \(\aleph_ 0\) subcovers - MaRDI portal

A finitely based theory of a non-trivial language, with exactly \(\aleph_ 0\) subcovers (Q1894550)

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scientific article; zbMATH DE number 780792
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A finitely based theory of a non-trivial language, with exactly \(\aleph_ 0\) subcovers
scientific article; zbMATH DE number 780792

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    A finitely based theory of a non-trivial language, with exactly \(\aleph_ 0\) subcovers (English)
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    21 September 1995
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    Let \(L = \langle f,g \rangle\) be an algebraic language with two unary operation symbols (that is, a first-order language with equality and no relation symbols). The author proves that the equational theory of \(L\) based on a single equation \(fv_0 = v_0\) covers exactly \(\aleph_0\) other equational theories of \(L\).
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    equational theory
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