Title | **On integro-differential algebras** |

Author(s) | Giovanni De Micheli, Georg Regensburger, Markus Rosenkranz |

Type | Article in Journal |

Abstract | Abstract The concept of integro-differential algebra has been introduced recently in the study of boundary problems of differential equations. We generalize this concept to that of integro-differential algebra with a weight, in analogy to the differential Rota–Baxter algebra. We construct free commutative integro-differential algebras with weight generated by a differential algebra. This gives in particular an explicit construction of the integro-differential algebra on one generator. Properties of the free objects are studied. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404913001424 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 218 |

Number | 3 |

Pages | 456 - 473 |

Year | 2014 |

Edition | 0 |

Translation |
No |

Refereed |
No |