论文标题

交换级别的单调

Commutative graded monads

论文作者

Poklewski-Koziell, Rowan

论文摘要

众所周知,kleisli代数的类别属于单型单元具有规范的单体结构。我们定义了交换性级别的单元的概念,并提出了严格的两类证据,即此类单子的Kleisli代数同样携带一个规范的单型结构,该结构将减少到单型单子案例中,当时有问题的跨性别单元在相关的单体类别上分级。

It is well-known that the category of Kleisli algebras for a monoidal monad carries a canonical monoidal structure. We define the notion of a commutative graded monad and present a strictly two-categorical proof that Kleisli algebras for such monads equally carry a canonical monoidal structure which reduce to the monoidal monad case when the commutative graded monad in question is graded over the trivial monoidal category.

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