On the autological character of diagonalizable algebras (Q1238804)
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scientific article; zbMATH DE number 3559538
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the autological character of diagonalizable algebras |
scientific article; zbMATH DE number 3559538 |
Statements
On the autological character of diagonalizable algebras (English)
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1976
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Let \(J\) be the first order theory of diagonalizable algebras (for first concepts on d. a. see \textit{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.
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