Title | **Algebra retracts and Stanley–Reisner rings** |

Author(s) | Neil Epstein, Hop D. Nguyen |

Type | Article in Journal |

Abstract | Abstract In a paper from 2002, Bruns and Gubeladze conjectured that graded algebra retracts of polytopal algebras over a field k are again polytopal algebras. Motivated by this conjecture, we prove that graded algebra retracts of Stanley–Reisner rings over a field k are again Stanley–Reisner rings. Extending this result further, we give partial evidence for a conjecture saying that monomial quotients of standard graded polynomial rings over k descend along graded algebra retracts. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404914000073 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 218 |

Number | 9 |

Pages | 1665 - 1682 |

Year | 2014 |

Edition | 0 |

Translation |
No |

Refereed |
No |