Title | **Gr\"obner bases for the polynomial ring with infinite variables and their applications.** |

Author(s) | Kei-Ichiro Iima, Yuji Yoshino |

Type | Article in Journal |

Abstract | We develop the theory of Gröbner bases for ideals in a polynomial ring with countably infinite variables over a field. As an application we reconstruct some of the one-to-one correspondences among various sets of partitions by using the division algorithm. |

Keywords | Gröbner bases, Schur functional equation, |

ISSN | 0092-7872; 1532-4125/e |

URL |
http://www.tandfonline.com/doi/abs/10.1080/00927870802502878 |

Language | English |

Journal | Commun. Algebra |

Volume | 37 |

Number | 10 |

Pages | 3424--3437 |

Publisher | Taylor & Francis, Philadelphia, PA |

Year | 2009 |

Edition | 0 |

Translation |
No |

Refereed |
No |