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This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.

Corps équivalents à leur corps de séries

Françoise Delon (1984)

Mémoires de la Société Mathématique de France

Cotorsion-free algebras as endomorphism algebras in $L$ - the discrete and topological cases

Rüdiger E. Göbel, Brendan Goldsmith (1993)

Commentationes Mathematicae Universitatis Carolinae

The discrete algebras $A$ over a commutative ring $R$ which can be realized as the full endomorphism algebra of a torsion-free $R$ -module have been investigated by Dugas and Göbel under the additional set-theoretic axiom of constructibility, $V = L$ . Many interesting results have been obtained for cotorsion-free algebras but the proofs involve rather elaborate calculations in linear algebra. Here these results are rederived in a more natural topological setting and substantial generalizations to topological...

Countable modules

Anand Pillay (1984)

Fundamenta Mathematicae

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