Separately continuous algebras
type: Item
instance of: scholarly article
title: Separately continuous algebras
zbMATH Open document ID: 0534.08006
DOI: 10.1016/0304-3975(83)90102-0
author: Jiří Adámek
author: Evelyn Nelson
published in: Theoretical Computer Science
publication date: 1983-01-01T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 08B20
Mathematics Subject Classification ID: 06F99
zbMATH DE Number: 3847460
zbMATH Keywords: ordered algebra
zbMATH Keywords: directed joins
zbMATH Keywords: free separately \(\Delta\)-continuous algebras
zbMATH Keywords: jointly continuous algebras
MaRDI profile type: Publication
full work available at URL: 0304-3975(83)90102-0
OpenAlex ID: W2093767797
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description: scientific article; zbMATH DE number 3847460