Galois theory of prime rings
نویسندگان
چکیده
منابع مشابه
Pro-` Galois Theory of Zariski Prime Divisors
— In this paper we show how to recover a special class of valuations (which generalize in a natural way the Zariski prime divisors) of function fields from the Galois theory of the functions fields in discussion. These valuations play a central role in the birational anabelian geometry and related questions. Résumé (Théorie de Galois pro-` des diviseurs premiers de Zariski) Dans cet article nou...
متن کاملOn the Galois Theory of Division Rings
1. Throughout this paper, K will represent a division ring and L a galois division subring. We are interested in establishing a galois theory for the extension K/L when K/L is locally finite. In order to do this one must identify the galois subrings of K containing L. An example given by Jacobson [4] shows that not every such division subring is galois. However, we obtain that each subring subj...
متن کاملPro-` Abelian-by-central Galois Theory of Prime Divisors
In the present paper I show that one can recover much of the inertia structure of (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-` abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.
متن کاملPro-` Abelian-by-central Galois Theory of Zariski Prime Divisors
In the present paper I show that one can recover much of the inertia structure of Zariski (quasi) divisors of a function field K|k over an algebraically closed base field k from the maximal pro-` abelian-by-central Galois theory of K. The results play a central role in the birational anabelian geometry and related questions.
متن کاملZ/` abelian-by-central Galois theory of prime divisors
In this manuscript I show how to recover some of the inertia structure of (quasi) divisors of a function field K|k over an algebraically closed base field k from its maximal mod ` abelian-by-central Galois theory of K, provided td(K|k) > 1. This is a first technical step in trying to extend Bogomolov’s birational anabelian program beyond the full pro-` situation, which corresponds to the limit ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1984
ISSN: 0022-4049
DOI: 10.1016/0022-4049(84)90083-5