Free bounded archimedean $$\ell $$-algebras
نویسندگان
چکیده
We show that free objects on sets do not exist in the category \({\varvec{ba}}\varvec{\ell }\) of bounded archimedean \(\ell \)-algebras. On other hand, we introduce weighted and prove }\). conclude by discussing several consequences this result.
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2021
ISSN: ['1572-9095', '0927-2852']
DOI: https://doi.org/10.1007/s10485-021-09637-x