Definition of Monoidal. Meaning of Monoidal. Synonyms of Monoidal

Here you will find one or more explanations in English for the word Monoidal. Also in the bottom left of the page several parts of wikipedia pages related to the word Monoidal and, of course, Monoidal synonyms and on the right images related to the word Monoidal.

Definition of Monoidal

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Meaning of Monoidal from wikipedia

- Monoidal may refer to: Monoidal category, concept in category theory Monoidal functor, between monoidal categories Monoidal natural transformation, between...
- In mathematics, a monoidal category (or tensor category) is a category C {\displaystyle \mathbf {C} } equipped with a bifunctor ⊗ : C × C → C {\displaystyle...
- mathematics, a commutativity constraint γ {\displaystyle \gamma } on a monoidal category C {\displaystyle {\mathcal {C}}} is a choice of isomorphism γ...
- In category theory, a branch of mathematics, a symmetric monoidal category is a monoidal category (i.e. a category in which a "tensor product" ⊗ {\displaystyle...
- category theory, monoidal functors are functors between monoidal categories which preserve the monoidal structure. More specifically, a monoidal functor between...
- especially in category theory, a closed monoidal category (or a monoidal closed category) is a category that is both a monoidal category and a closed category...
- for monoidal categories, are moreover required to hold: a monoidal category is the same as a bicategory with one 0-cell. Consider a simple monoidal category...
- In category theory, a branch of mathematics, a monoidal monad ( T , η , μ , T A , B , T 0 ) {\displaystyle (T,\eta ,\mu ,T_{A,B},T_{0})} is a monad ( T...
- This is reflected in some of the terminology, such as the classical term monoidal transformation. Contemporary algebraic geometry treats blowing up as an...
- 2-category Dagger symmetric monoidal category Dagger compact category Strongly ribbon category Closed monoidal category Braided monoidal category Topos Category...