On an exponential predicate in polynomials over finite fields
Author:
Alla Sirokofskich
Journal:
Proc. Amer. Math. Soc. 138 (2010), 25692583
MSC (2000):
Primary 03C10, 03B25, 12L05
Published electronically:
February 18, 2010
MathSciNet review:
2607887
Fulltext PDF Free Access
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Abstract: We show that the theory of the set of polynomials in , where is a finite field, in a language including addition and a predicate for the relation `` is a power of '' is modelcomplete and therefore decidable.
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 A. Sirokofskich, Decidability of Subtheories of Polynomials over a Finite Field, Mathematical Theory and Computational Practice, Lecture Notes in Computer Science, 5635, Springer (2009), 437446.
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Additional Information
Alla Sirokofskich
Affiliation:
Department of Mathematics, University of Crete, 714 09 Heraklion, Greece
Email:
asirokof@math.uoc.gr
DOI:
http://dx.doi.org/10.1090/S0002993910102585
Received by editor(s):
May 6, 2009
Received by editor(s) in revised form:
October 19, 2009
Published electronically:
February 18, 2010
Additional Notes:
This work was supported by the Trimester Program on Diophantine Equations, January–April 2009, at the Hausdorff Research Institute for Mathematics, Bonn, Germany
Communicated by:
Julia Knight
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
