CONVEXLY ORDERABLE GROUPS AND VALUED FIELDS

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convexly orderable Groups and Valued Fields

We consider the model theoretic notion of convex orderability, which fits strictly between the notions of VC-minimality and dp-minimality. In some classes of algebraic theories, however, we show that convex orderability and VC-minimality are equivalent, and use this to give a complete classification of VC-minimal theories of ordered groups and abelian groups. Consequences for fields are also co...

متن کامل

P-convexly valued rings

This work is a part of my research in the area of model theory. First we study a particular L-theory of rings whose models are called p-convexly valued domains (the first-order language L is the language of rings equipped with a linear divisibility predicate and predicates for the nth powers). It consists of a p-adic counterpart of Becker’s convexly oredered valuation rings. Then we are interes...

متن کامل

Π1 classes and orderable groups

It is known that the spaces of orders on orderable computable fields can represent all Π1 classes up to Turing degree. We show that the spaces of orders on orderable computable abelian and nilpotent groups cannot represent Π1 classes in even a weak manner. Next, we consider presentations of ordered abelian groups, and we show that there is a computable ordered abelian group for which no computa...

متن کامل

Diagram Groups Are Totally Orderable

In this paper, we introduce the concept of the independence graph of a directed 2-complex. We show that the class of diagram groups is closed under graph products over independence graphs of rooted 2-trees. This allows us to show that a diagram group containing all countable diagram groups is a semi-direct product of a partially commutative group and R. Thompson's group F. As a result, we prove...

متن کامل

On the dynamics of (left) orderable groups

— We develop dynamical methods for studying left-orderable groups as well as the spaces of orderings associated to them. We give new and elementary proofs of theorems by Linnell (if a left-orderable group has infinitely many orderings, then it has uncountably many) and McCleary (the space of orderings of the free group is a Cantor set). We show that this last result also holds for countable tor...

متن کامل

ذخیره 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: The Journal of Symbolic Logic

سال: 2014

ISSN: 0022-4812,1943-5886

DOI: 10.1017/jsl.2013.16