## Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001

### Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)

### DMTCS Conference Volume AA (2001), pp. 301-314

author: | Jan Snellman |
---|---|

title: | A Poset Classifying Non-Commutative Term Orders |

keywords: | free associative algebra, term orders |

abstract: | We study a poset N on the free monoid (X*) on a countable alphabet X. This poset is determined by the fact that its total extensions are precisely the standard term orders on X*. We also investigate the poset classifying degree-compatible standard term orders, and the poset classifying sorted term orders. For the latter poset, we give a Galois coconnection with the Young lattice. |

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reference: | Jan Snellman (2001), A Poset
Classifying Non-Commutative Term Orders, in Discrete
Models: Combinatorics, Computation, and Geometry, DM-CCG
2001, Robert Cori and Jacques Mazoyer and Michel Morvan
and Rémy Mosseri (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AA, pp.
301-314 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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