Derksen, Harm and Masser, David.
(2016)
* Linear equations over multiplicative groups recurrences, and mixing III.*
Preprints Fachbereich Mathematik, 2016 (26).

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## Abstract

Given an algebraic $Z^d$-action corresponding to a prime ideal of a Laurent ring of polynomials in several variables, we show how to find the smallest order n+1 of non-mixing. It is known that this is determined by the non-mixing sets of size n+1, and we show how to find these in an effective way. When the underlying characteristic is positive and $n\ge 2$, we prove that there are at most finitely many classes under a natural equivalence relation. We work out two examples, the first with 5 classes and the second with 134 classes.

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser) 12 Special Collections > Preprints Fachbereich Mathematik |
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UniBasel Contributors: | Masser, David |

Item Type: | Preprint |

Publisher: | Universität Basel |

Language: | English |

Last Modified: | 21 Apr 2019 22:31 |

Deposited On: | 28 Mar 2019 09:51 |

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