On the autological character of diagonalizable algebras
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.
scientific article; zbMATH DE number 3559538