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Algebra i logika, 2010, Volume 49, Number 6, Pages 782–802 (Mi al467)  
This article is cited in 4 scientific papers (total in 4 papers)

Categorical Horn classes. 2

E. A. Palyutinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (219 kB) Citations (4)
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Abstract: We come up with a quite efficient characterization of uncountably categorical Horn classes, which, in particular, implies that the classes in question are model complete. It is also worth mentioning the following results: quantifier elimination down to primitive formulas, a description of groups interpretable in models of categorical Horn theories, and a characterization of groups interpretable in models of almost strongly minimal Horn theories.
Keywords: categorical Horn class, model completeness, quantifier elimination down to primitive formulas, interpretability.
Received: 22.10.2010
Revised: 09.11.2010
English version:
Algebra and Logic, 2010, Volume 49, Issue 6, Pages 526–538
DOI: https://doi.org/10.1007/s10469-011-9115-z
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.57
Language: Russian
Citation: E. A. Palyutin, “Categorical Horn classes. 2”, Algebra Logika, 49:6 (2010), 782–802; Algebra and Logic, 49:6 (2010), 526–538
Citation in format AMSBIB
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\paper Categorical Horn classes.~2
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\pages 526--538
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    Cycle of papers
    This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:268
    Full-text PDF :89
    References:58
    First page:6
     
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