m-normal theories

Ludomir Newelski. "m-normal theories." Fundamenta Mathematicae 170.1-2 (2001): 141-163. <http://eudml.org/doc/282000>.

@article{LudomirNewelski2001,
abstract = {Originally, m-independence, ℳ -rank, m-stability and m-normality were defined only for small stable theories. Here we extend the definitions to an arbitrary small countable complete theory. Then we investigate these notions in the new, broader context. As a consequence we show that any superstable theory with $< 2^\{ℵ₀\}$ countable models is m-normal. In particular, any *-algebraic group interpretable in such a theory is abelian-by-finite.},
author = {Ludomir Newelski},
journal = {Fundamenta Mathematicae},
keywords = {small theory; m-stability; m-normality; *-algebraic; multiplicity},
language = {eng},
number = {1-2},
pages = {141-163},
title = {m-normal theories},
url = {http://eudml.org/doc/282000},
volume = {170},
year = {2001},
}

TY - JOUR
AU - Ludomir Newelski
TI - m-normal theories
JO - Fundamenta Mathematicae
PY - 2001
VL - 170
IS - 1-2
SP - 141
EP - 163
AB - Originally, m-independence, ℳ -rank, m-stability and m-normality were defined only for small stable theories. Here we extend the definitions to an arbitrary small countable complete theory. Then we investigate these notions in the new, broader context. As a consequence we show that any superstable theory with $< 2^{ℵ₀}$ countable models is m-normal. In particular, any *-algebraic group interpretable in such a theory is abelian-by-finite.
LA - eng
KW - small theory; m-stability; m-normality; *-algebraic; multiplicity
UR - http://eudml.org/doc/282000
ER -