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On the autological character of diagonalizable algebras. (English) Zbl 0359.02027
Let $$J$$ be the first order theory of diagonalizable algebras (for first concepts on d. a. see R. Magari [Boll. Un. mat. Ital., IV. Ser. 12, Suppl. Fasc. 3, 117-125 (1975; Zbl 0352.08009)]). The author defines a bijection $$\varphi$$ from the identities of $$J$$ to the open formulas of $$J$$ and he proves that $$t_1=t_2$$ is an identity of the diagonalizable algebras iff $$\varphi(t_1=t_2)$$ is valid.

##### MSC:
 03F99 Proof theory and constructive mathematics 08B99 Varieties
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##### References:
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