m-normal theories

• Autorzy: Ludomir Newelski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 03C45: Classification theory, stability and related concepts

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2001
• Tom: 170
• Numer: 1-2
• Strony: 141-163

Daty

wydano

2001

Twórcy

autor

Ludomir Newelski

• Mathematical Institute, Wrocław University, 50-384 Wrocław, Poland
• Mathematical Institute, Polish Academy of Sciences, 51-617 Wrocław, Poland

Identyfikatory

DOI

10.4064/fm170-1-9