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6 - Tools from Effective Commutative Algebra

Published online by Cambridge University Press:  31 August 2022

Jan-Hendrik Evertse  and
Kálmán Győry
Jan-Hendrik Evertse
Affiliation:
Universiteit Leiden
Kálmán Győry
Affiliation:
Debreceni Egyetem, Hungary
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Summary

We give an overview of the techniques from commutative algebra that we need. In particular, we recall explicit results of Aschenbrenner concerning the solutions of linear equations over polynomial rings over the integers.

Keywords

commutative algebra resultslinear equations over polynomial ringsAschenbrenner’s results
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Chapter
Information
Effective Results and Methods for Diophantine Equations over Finitely Generated Domains , pp. 114 - 127
Publisher: Cambridge University Press
Print publication year: 2022

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