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Identifier 000421841
Title Analoques of the diophantine problem for subrings of the field of rational functions
Alternative Title Ανάλογα του 10ου προβλήματος του Hilbert σε δακτύλιους πολυώνυμων και ρητών συναρτήσεων
Author Κουρκουνάκη, Γεωργία
Thesis advisor Φειδάς, Αθανάσιος
Reviewer Δημητρακόπουλος, Κωνσταντίνος
Τζανάκης, Νικόλαος
Abstract Our aim in this thesis is to study analogues of Hilbert's tenth problem for polynomial rings and subrings of the field of rational functions. More specifically, we present the undecidability of the positive existential theory of the polynomial ring R[t] and Laurent polynomial ring in the language of the polynomial rings Lr as well as in the "geometric" language
Language English, Greek
Subject Hilbert's tenth problem
Positive existential theory
Διοφαντικό πρόβλημα
Θετική υπαρξιακή θεωρία
Issue date 2019-03-22
Collection   Faculty/Department--Faculty of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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