A Note on I-Types
β Scribed by Philipp Rothmaler
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 124 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
dedicated to professor helmut wielandt on the occasion of his 90th birthday ## 1. INTRODUCTORY REMARKS Let G be a group and denote by PAut G the group of power automorphisms of G (see [4]). An automorphism of G is called an I-automorphism of G if it maps every infinite subgroup of G onto itself. T
## Abstract We investigate stationarity of types over models in simple theories. In particular, we show that in simple theories with finite SUβrank, any complete type over a model having CantorβBendixson rank is stationary. (Β© 2008 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
A denotes an artin algebra in the sense of Auslander, i.e., an associative algebra of finite length over a commutative artinian ring Z. We assume in addition that Z is local and that its residue field k is algebraically closed, whence infinite. As a partial answer to a w x question raised by Ausland