Published online by Cambridge University Press: 26 November 2021
Finitary monads on Pos are characterized as precisely the free-algebra monads of varieties of algebras. These are classes of ordered algebras specified by inequations in context. Analogously, finitary enriched monads on Pos are characterized: here we work with varieties of coherent algebras which means that their operations are monotone.
Supported by the Grant Agency of the Czech Republic under the grant 19-00902S.
Supported by the Deutsche Forschungsgemeinschaft (DFG) within the Research and Training Group 2475 “Cybercrime and Forensic Computing” (393541319/GRK2475/1-2019).
Supported by the Deutsche Forschungsgemeinschaft (DFG) under project MI 717/7-1.
Supported by the Deutsche Forschungsgemeinschaft (DFG) under project SCHR 1118/6-2.
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