# m-normal theories

Fundamenta Mathematicae (2001)

- Volume: 170, Issue: 1-2, page 141-163
- ISSN: 0016-2736

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topLudomir 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 -

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