coalgebra
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Coalgebra — In mathematics, coalgebras or cogebras are structures that are dual (in the sense of reversing arrows) to unital associative algebras. The axioms of unital associative algebras can be formulated in terms of commutative diagrams. Turning all… … Wikipedia
F-coalgebra — In mathematics, specifically in category theory, an F coalgebra is a structure defined according to a functor F. For both algebra and coalgebra, a functor is a convenient and general way of organizing a signature. This has applications in… … Wikipedia
Cofree coalgebra — 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 space over a field exists, though it is more complicated than one might expect by analogy … Wikipedia
Lie coalgebra — 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 naturally has the structure of a Lie coalgebra, and conversely.DefinitionLet E be a vector… … Wikipedia
Comodule — In mathematics, a comodule or corepresentation is a concept dual to a module. The definition of a comodule over a coalgebra is formed by dualizing the definition of a module over an associative algebra. Formal definition Let K be a field, and C… … Wikipedia
F-algebra — In mathematics, specifically in category theory, an F algebra for an endofunctor :F : mathbf{C}longrightarrow mathbf{C} is an object A of mathbf{C} together with a mathbf{C} morphism :alpha : FA longrightarrow A. In this sense F algebras are dual … Wikipedia
Summenlose Sweedler Notation — Koalgebra berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra ist Spezialfall von Vektorraum ist dual zu … Deutsch Wikipedia
Sweedler-Notation — Koalgebra berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra ist Spezialfall von Vektorraum ist dual zu … Deutsch Wikipedia
Sweedler Notation — Koalgebra berührt die Spezialgebiete Mathematik Abstrakte Algebra Lineare Algebra ist Spezialfall von Vektorraum ist dual zu … Deutsch Wikipedia
Associative algebra — In mathematics, an associative algebra is a vector space (or more generally, a module) which also allows the multiplication of vectors in a distributive and associative manner. They are thus special algebras. Definition An associative algebra A… … Wikipedia
