(Σ-) Algebraic compactness of rings
✍ Scribed by Wolfgang Zimmermann
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 605 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
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
The general problem underlying this article is to give a qualitative classification Ž . of all compact subgroups ⌫ ; GL F , where F is a local field and n is arbitrary. It is natural to ask whether ⌫ is an open compact subgroup of H E , where H is a linear algebraic group over a closed subfield E ;