منابع مشابه
An exposition of Hrushovski's New Strongly Minimal Set
This refuted a conjecture of B. Zilber that a strongly minimal theory must either be locally modular or interpret an infinite field (see [7]). Hrushovski’s method was extended and applied to many other questions, for example to the fusion of two strongly minimal theories ([4]) or recently to the construction of a bad field in [3]. There were also attempts to simplify Hrushovski’s original const...
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The characterization of strongly perfect graphs by a restricted list of forbidden induced subgraphs has remained an open question for a long time. The minimal strongly imperfect graphs which are simultaneous imperfect are only odd holes and odd antiholes ( E. Olaru, [9]), but the entire list is not known, in spite of a lot of particular results in this direction. In this paper we give some new ...
متن کاملStrongly minimal pseudofinite structures
In this note we point out that any strongly minimal pseudofinite structure (or set) is unimodular in the sense of [1], [5], [2], and hence measurable in the sense of Macpherson and Steinhorn [3], [2] as well as 1-based. The argument, involving nonstandard finite cardinalities, is straightforward. A few people asked about this issue in private conversations and communications, in particular Mart...
متن کاملNew spectra of strongly minimal theories in finite languages
We describe strongly minimal theories Tn with finite languages such that in the chain of countable models of Tn, only the first n models have recursive presentations. Also, we describe a strongly minimal theory with a finite language such that every non-saturated model has a recursive presentation.
متن کاملFinitely axiomatizable strongly minimal groups
We show that if G is a strongly minimal finitely axiomatizable group, the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring. Questions about finite axiomatizability of first order theories are nearly as old as model theory itself and seem at first glance to have a fairly syntactical flavor. But it was in order to show that totally categorical theories cannot ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1993
ISSN: 0168-0072
DOI: 10.1016/0168-0072(93)90171-9