Computably Categorical Fields via Fermat's Last Theorem

التفاصيل البيبلوغرافية
العنوان: Computably Categorical Fields via Fermat's Last Theorem
المؤلفون: Miller, Russell, Schoutens, Hans
المصدر: Computability 2 (2013), 51-65
سنة النشر: 2012
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Logic, Computer Science - Logic in Computer Science, 03C57 (Primary), 03D45, 12L05 (Secondary)
الوصف: We construct a computable, computably categorical field of infinite transcendence degree over the rational numbers, using the Fermat polynomials and assorted results from algebraic geometry. We also show that this field has an intrinsically computable (infinite) transcendence basis.
Comment: to appear in the journal Computability
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1212.6751
رقم الأكسشن: edsarx.1212.6751
قاعدة البيانات: arXiv