m-normal theories
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 141-163
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Originally, m-independence, ${\cal M}$-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 $2^{\aleph _0}$ countable models is m-normal. In
particular, any $*$-algebraic group interpretable in such a
theory is abelian-by-finite.
Keywords:
originally m independence cal rank m stability m normality defined only small stable theories here extend definitions arbitrary small countable complete theory investigate these notions broader context consequence superstable theory aleph countable models m normal particular * algebraic group interpretable theory abelian by finite
Affiliations des auteurs :
Ludomir Newelski 1
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author = {Ludomir Newelski},
title = {m-normal theories},
journal = {Fundamenta Mathematicae},
pages = {141--163},
publisher = {mathdoc},
volume = {170},
number = {1},
year = {2001},
doi = {10.4064/fm170-1-9},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-9/}
}
Ludomir Newelski. m-normal theories. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 141-163. doi: 10.4064/fm170-1-9
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