# bialgebra

A bialgebra^{} is a vector space that is both a unital algebra^{} and a coalgebra, such that the comultiplication and counit are unital algebra homomorphisms.

A bialgebra homomorphism^{} is a linear map that is both an algebra and a coalgebra homomorphism.

Title | bialgebra |
---|---|

Canonical name | Bialgebra |

Date of creation | 2013-03-22 13:06:05 |

Last modified on | 2013-03-22 13:06:05 |

Owner | mhale (572) |

Last modified by | mhale (572) |

Numerical id | 6 |

Author | mhale (572) |

Entry type | Definition |

Classification | msc 16W30 |

Related topic | QuantumDouble |