RT Journal Article
T1 On the class of flat stable theories
A1 Palacín Cruz, Daniel
A1 Shelah, Saharon
AB A new notion of independence relation is given and associated to it, the class of flat theories, a subclass of strong stable theories including the superstable ones is introduced. More precisely, after introducing this independence relation, flat theories are defined as an appropriate version of superstability. It is shown that in a flat theory every type has finite weight and therefore flat theories are strong. Furthermore, it is shown that under reasonable conditions any type is non-orthogonal to a regular one. Concerning groups in flat theories, it is shown that type-definable groups behave like superstable ones, since they satisfy the same chain condition on definable subgroups and also admit a normal series of definable subgroup with semi-regular quotients.
PB Elsevier
SN 0168-0072
YR 2018
FD 2018-08
LK https://hdl.handle.net/20.500.14352/98557
UL https://hdl.handle.net/20.500.14352/98557
LA eng
NO Palacín, D., Shelah, S.: On the class of flat stable theories. Annals of Pure and Applied Logic. 169, 835-849 (2018). https://doi.org/10.1016/j.apal.2018.04.005
DS Docta Complutense
RD 7 abr 2025