- Algebra
- >
- Abstract algebra
- >
- Algebraic structures
- >
- Coalgebras

- Algebraic topology
- >
- Homological algebra
- >
- Duality theories
- >
- Coalgebras

- Category theory
- >
- Homological algebra
- >
- Duality theories
- >
- Coalgebras

- Differential geometry
- >
- Manifolds
- >
- Duality theories
- >
- Coalgebras

- Differential topology
- >
- Manifolds
- >
- Duality theories
- >
- Coalgebras

- Fields of abstract algebra
- >
- Category theory
- >
- Duality theories
- >
- Coalgebras

- Fields of abstract algebra
- >
- Homological algebra
- >
- Duality theories
- >
- Coalgebras

- Fields of mathematics
- >
- Geometry
- >
- Duality theories
- >
- Coalgebras

- Functions and mappings
- >
- Category theory
- >
- Duality theories
- >
- Coalgebras

- Geometric topology
- >
- Manifolds
- >
- Duality theories
- >
- Coalgebras

- Mathematical concepts
- >
- Mathematical structures
- >
- Algebraic structures
- >
- Coalgebras

- Mathematical objects
- >
- Mathematical structures
- >
- Algebraic structures
- >
- Coalgebras

- Mathematical structures
- >
- Category theory
- >
- Duality theories
- >
- Coalgebras

- Topological spaces
- >
- Manifolds
- >
- Duality theories
- >
- Coalgebras

- Topology
- >
- Manifolds
- >
- Duality theories
- >
- Coalgebras

Coalgebra

In mathematics, coalgebras or cogebras are structures that are dual (in the category-theoretic sense of reversing arrows) to unital associative algebras. The axioms of unital associative algebras can

Quasi-Frobenius Lie algebra

In mathematics, a quasi-Frobenius Lie algebra over a field is a Lie algebra equipped with a nondegenerate skew-symmetric bilinear form , which is a Lie algebra 2- of with values in . In other words, f

Lie bialgebra

In mathematics, a Lie bialgebra is the Lie-theoretic case of a bialgebra: it is a set with a Lie algebra and a Lie coalgebra structure which are compatible. It is a bialgebra where the multiplication

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 mor

Quasi-Hopf algebra

A quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Russian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra is a quasi-bialgebra for which there exist an

F-coalgebra

In mathematics, specifically in category theory, an -coalgebra is a structure defined according to a functor , with specific properties as defined below. For both algebras and coalgebras, a functor is

Primitive element (co-algebra)

In algebra, a primitive element of a co-algebra C (over an element g) is an element x that satisfies where is the co-multiplication and g is an element of C that maps to the multiplicative identity 1

Measuring coalgebra

In algebra, a 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 of as a sort of linear analogue o

Quasi-triangular quasi-Hopf algebra

A quasi-triangular quasi-Hopf algebra is a specialized form of a quasi-Hopf algebra defined by the Ukrainian mathematician Vladimir Drinfeld in 1989. It is also a generalized form of a quasi-triangula

Bialgebra

In mathematics, a bialgebra over a field K is a vector space over K which is both a unital associative algebra and a counital coassociative coalgebra. The algebraic and coalgebraic structures are made

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 algebr

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 coalgeb

Quasi-bialgebra

In mathematics, quasi-bialgebras are a generalization of bialgebras: they were first defined by the Ukrainian mathematician Vladimir Drinfeld in 1990. A quasi-bialgebra differs from a bialgebra by hav

© 2023 Useful Links.