- In mathematics,
coalgebras or
cogebras are
structures that are dual (in the category-theoretic
sense of
reversing arrows) to
unital ****ociative algebras...
- 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...
- mathematics,
specifically in
category theory, an F {\displaystyle F} -
coalgebra is a
structure defined according to a
functor F {\displaystyle F} , with...
- 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 space...
-
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...
-
comodule over a
coalgebra is
formed by
dualizing the
definition of a
module over an ****ociative algebra. Let K be a field, and C be a
coalgebra over K. A (right)...
- In
mathematics a Lie
coalgebra is the dual
structure to a Lie algebra. In
finite dimensions,
these are dual objects: the dual
vector space to a Lie algebra...
-
which is both a
unital ****ociative
algebra and a
counital co****ociative
coalgebra.: 46 The
algebraic and
coalgebraic structures are made
compatible with...
-
unary involution operation Von
Neumann algebra (or W*-algebra) See also
coalgebra, the dual notion. A
different class of "algebras"
consists of objects...
- (termination), in
computer program termination analysis Measuring coalgebra, a
coalgebra constructed from two
algebras Measure (Apple), an iOS augmented...
