## Abstract

We provide a new foundation for combinatorial commutative algebra and

Stanley-Reisner theory using the partition complex introduced in [1]. One of

the main advantages is that it is entirely self-contained, using only a minimal

knowledge of algebra and topology. On the other hand, we also develop new

techniques and results using this approach.

Stanley-Reisner theory using the partition complex introduced in [1]. One of

the main advantages is that it is entirely self-contained, using only a minimal

knowledge of algebra and topology. On the other hand, we also develop new

techniques and results using this approach.

Original language | English |
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Title of host publication | Surveys in Combinatorics 2021 |

Publisher | Cambridge University Press |

Pages | 1-42 |

Number of pages | 42 |

ISBN (Electronic) | 9781009036214 |

DOIs | |

State | Published - 8 Jun 2021 |

### Publication series

Name | London Mathematical Society lecture note series |
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Publisher | Cambridge University Press |

Volume | 470 |