- schemes).
There are also F-
coalgebras, with
important applications in
computer science. One
frequently recurring example of
coalgebras occurs in representation...
-
examples of
coalgebras include lazy evaluation,
infinite data structures, such as streams, and also
transition systems. F {\displaystyle F} -
coalgebras are dual...
-
through a
coalgebra homomorphism from X to C (V). In
other words, the
functor C is
right adjoint to the
forgetful functor from
coalgebras to
vector spaces...
- in a
sense dual to the
Jacobi identity. Michaelis,
Walter (1980), "Lie
coalgebras",
Advances in Mathematics, 38 (1): 1–54, doi:10.1016/0001-8708(80)90056-0...
-
measuring coalgebra of two
algebras A and B is a
coalgebra enrichment of the set of
homomorphisms from A to B. In
other words, if
coalgebras are thought...
-
Categories for
Coalgebras over Rings, J. Pure Appl. Algebra,.V. 173, Issue: 3,
September 7, 2002, pp. 245–271 Gómez-Torrecillas, José (1998), "
Coalgebras and comodules...
- also has two
coalgebra structures; one
simple one,
which does not make it a bialgebra, but does lead to the
concept of a
cofree coalgebra, and a more complicated...
-
structure of a
coalgebra.
There is also an
abstract notion of F-
coalgebra,
where F is a functor. This is
vaguely related to the
notion of
coalgebra discussed...
- are
homomorphisms of
coalgebras".
These statements are
meaningful once we
explain the
natural structures of
algebra and
coalgebra in all the
vector spaces...
- {\displaystyle F(f)=\langle \mathrm {id} _{A},f\rangle } The
final F-
coalgebra ν F {\displaystyle \nu F} has the
following morphism ****ociated with it:...
