论文信息 - On Lascar Rank in Non-Multidimensional ω-Stable Theories

On Lascar Rank in Non-Multidimensional ω-Stable Theories

Publisher Summary This chapter considers ‘T’ to be a countable complete ω -stable theory. The notion “dimension” is used for classes of non-orthogonal regular types over models. T is nonmultidimensional if the number μ (T) of dimensions is bounded. Models of non-multidimensional ω-stable theories can be classified by μ (T)-tuples of cardinals. The chapter also presents some preliminaries from stability theory and focuses on the algebra of models of Th(F c (p n , N O )). The chapter also discusses the Lascar rank computation and dimensions.

Andreas Baudisch | A. Baudisch

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