Separately continuous algebras (Q790140)
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scientific article; zbMATH DE number 3847460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separately continuous algebras |
scientific article; zbMATH DE number 3847460 |
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Separately continuous algebras (English)
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1983
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An ordered algebra is separately \(\Delta\)-continuous if it has directed joins, and the operations preserve these joins in each variable separately. For infinitary signatures, free separately \(\Delta\)- continuous algebras are proved not to exist, in contrast with the jointly continuous algebras [see \textit{E. Nelson}, Lect. Notes Math. 871, 315-334 (1981; Zbl 0493.08008)].
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ordered algebra
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directed joins
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free separately \(\Delta\)-continuous algebras
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jointly continuous algebras
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