Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 58, Issue 3 (1993), 1044-1051.
Quasi-Endomorphisms in Small Stable Groups
We generalise various properties of quasiendomorphisms from groups with regular generic to small abelian groups. In particular, for a small 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.
J. Symbolic Logic, Volume 58, Issue 3 (1993), 1044-1051.
First available in Project Euclid: 6 July 2007
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Wagner, Frank O. Quasi-Endomorphisms in Small Stable Groups. J. Symbolic Logic 58 (1993), no. 3, 1044--1051. https://projecteuclid.org/euclid.jsl/1183744312