Article contents
Quasi-endomorphisms in small stable groups
Published online by Cambridge University Press: 12 March 2014
Abstract
We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small stable abelian group such that no infinite definable quotient is connected-by-finite, the ring of quasi-endomorphisms is locally finite. Under some additional assumptions, it decomposes modulo some nil ideal into a sum of finitely many matrix rings.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 1993
References
REFERENCES
- 1
- Cited by