Linear equations over multiplicative groups recurrences, and mixing III

Derksen, Harm and Masser, David. (2016) Linear equations over multiplicative groups recurrences, and mixing III.

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Official URL: https://edoc.unibas.ch/69961/

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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
UniBasel Contributors:Masser, David
Item Type:Preprint
Publisher:Universität Basel
Last Modified:21 Apr 2019 22:31
Deposited On:28 Mar 2019 09:51

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