- In algebra, the
cofree coalgebra of a
vector space or
module is a
coalgebra analog of the free
algebra of a
vector space. The
cofree coalgebra of any vector...
-
which does not make it a bialgebra, but does lead to the
concept of a
cofree coalgebra, and a more
complicated one,
which yields a bialgebra, and can...
-
concept of
representation for
algebras is a
corepresentation or comodule.
Cofree coalgebra Measuring coalgebra Dialgebra Yokonuma (1992). "Prop. 1.7". Tensor...
- {id} _{\mathbf {C} }} , one may
construct a T-algebra, and so a monad. The
cofree functor is the
right adjoint to the
forgetful functor.
There are general...
-
discrete topology is
initial or free, the
indiscrete topology is
final or
cofree:
every function from a
topological space to an
indiscrete space is continuous...
-
functor that puts the
trivial topology on a
given set, then H (the so-called
cofree functor) is
right adjoint to G. (The so-called free
functor F : Set → Top...
-
category of sets. Free
algebras over
division rings are free
ideal rings.
Cofree coalgebra Tensor algebra Free
object Noncommutative ring
Rational series...
-
algebra of
symmetric functions. It is both free as an
algebra and graded-
cofree as a
graded coalgebra, so is in some
sense as far as
possible from being...
