论文标题

posets类别

Finitary Monads on the Category of Posets

论文作者

Adámek, Jiří, Ford, Chase, Milius, Stefan, Schröder, Lutz

论文摘要

$ \ mathsf {pos} $上的finarity monads被描述为恰恰是代数的自由代数单月。这些是上下文中不一致指定的有序代数类别。 $ \ mathsf {pos} $上的富含限制的单子是特征的:在这里,我们与各种相干代数合作,这意味着它们的操作是单调的。

Finitary monads on $\mathsf{Pos}$ are characterized as the precisely the free-algebra monads of varieties of algebras. These are classes of ordered algebras specified by inequations in context. Analagously, finitary enriched monads on $\mathsf{Pos}$ are characterized: here we work with varieties of coherent algebras which means that their operations are monotone.

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