Mario Román

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Normalization of a produoidal

Normalization of a produoidal

May 02, 20251 min read

Normal produoidal categories are the profunctorial analogue of normal duoidal categories. Produoidal normalization is analogue to duoidal normalization.

normalization-of-a-produoidal

See also.

  • Unit of the normalization monad
  • Multiplication of the normalization monad
  • Algebras of normalization are normal produoidals

Proof.

normalization-of-a-produoidal-proof

normalization-of-a-produoidal-proof-2

Tags: produoidal category, duoidal normalization, Monoidal contexts, Symmetric normalization of a produoidal.


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Backlinks

  • Monoidal Context Theory, PhD Thesis (Román, 2023)
  • Algebras of normalization are normal produoidals
  • Formal normalization
  • Motivating normalization of splice
  • Multiplication of the normalization monad
  • Produoidal algebra of monoidal contexts
  • Three tensors when we normalize
  • Unit of the normalization monad
  • produoidal category
  • profunctor
  • Shufflings are deuterorepresentable normal produoidals

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