- commutes. A
strict monoidal category is one for
which the
natural isomorphisms α, λ and ρ are identities.
Every monoidal category is
monoidally equivalent to...
-
Monoidal may
refer to:
Monoidal category,
concept in
category theory Monoidal functor,
between monoidal categories Monoidal natural transformation, between...
- mathematics, a
commutativity constraint γ {\displaystyle \gamma } on a
monoidal category C {\displaystyle {\mathcal {C}}} is a
choice of
isomorphism γ...
-
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...
- 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...
-
coherence results and vice versa.
Every monoidal category is
monoidally equivalent to a
strict monoidal category. This is (essentially) the Mac Lane coherence...
-
category theory, a
monoidal category where the
monoidal ("tensor")
product is the
categorical product is
called a
cartesian monoidal category. Any category...
-
category theory,
monoidal functors are
functors between monoidal categories which preserve the
monoidal structure. More specifically, a
monoidal functor between...
-
preadditive category is the
category Ab itself. More precisely, Ab is a
closed monoidal category. Note that
commutativity is
crucial here; it
ensures that the...
