- In mathematics, a
monoidal category (or
tensor category) is a
category C{\displaystyle \mathbf {C} }
equipped with a
bifunctor ⊗:C×C→C{\displaystyle \otimes...
-
Monoidal may
refer to:
Monoidal category,
concept in
category theory Monoidal functor,
between monoidal categories Monoidal natural transformation, between...
-
category theory,
monoidal functors are
functors between monoidal categories which preserve the
monoidal structure. More specifically, a
monoidal functor between...
- 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...
- mathematics, a
commutativity constraint γ{\displaystyle \gamma } on a
monoidal category C{\displaystyle {\mathcal {C}}} is a
choice of
isomorphism γA...
-
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...
- This is
reflected in some of the terminology, such as the
classical term
monoidal transformation.
Contemporary algebraic geometry treats blowing up as an...
- In
category theory, a
monoidal monad ( T , η , μ , T A , B , T 0 ) {\displaystyle (T,\eta ,\mu ,T_{A,B},T_{0})} is a
monad ( T , η , μ ) {\displaystyle...
- 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...
- {\displaystyle ({\mathcal {D}},\bullet ,J)} are two
monoidal categories. A
monoidal adjunction between two lax
monoidal functors ( F , m ) : ( C , ⊗ , I ) → ( D...
