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词条 Monoidal category action
释义

  1. References

In algebra, an action of a monoidal category S on a category X is a functor

such that there are natural isomorphisms and and those natural isomorphism satisfy the coherence conditions analogous to those in S.[1] If there is such an action, S is said to act on X.

For example, S acts on itself via the monoid operation ⊗.

References

1. ^{{harvnb|Weibel|loc=Ch. IV, Definition 4.7.}}
  • C. Weibel "The K-book: An introduction to algebraic K-theory"
{{algebra-stub}}

2 : Monoidal categories|Functors

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