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Euclidean rings of algebraic numbers and functions

✍ Scribed by Raj Markanda

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
917 KB
Volume
37
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

Rings of algebraic numbers and functions
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✍ Edward D. Davis 📂 Article 📅 1965 🏛 John Wiley and Sons 🌐 English ⚖ 411 KB

## Introduction. That every integrally closed subring of the field of algebraic numbers is a ring of quotients of its subring of algebraic integers is a remark of 131. The purpose of the present note is to prove this assertion without the hypothesis of integral closure (Theorem A). The proof rests

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Let F be a countable fieldrring. Then a weak presentation of F is an injective homomorphism from F into a fieldrring whose universe is ‫ގ‬ such that all the fieldrring operations are translated by total recursive functions. Given two recursive integral domains R and R with quotient fields F and F re