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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 63–110 (Mi fpm1174)  
This article is cited in 10 scientific papers (total in 10 papers)

Model-theoretic properties of free, projective, and flat $S$-acts

V. Goulda, A. V. Mikhalevb, E. A. Palyutinc, A. A. Stepanovad

a University of York, United Kindom
b M. V. Lomonosov Moscow State University
c S. L. Sobolev Institute of Mathematics, Novosibirsk
d Far Eastern National University, Vladivostok
Full-text PDF (457 kB) Citations (10)
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Abstract: This is the second in a series of articles surveying the body of work on the model theory of $S$-acts over a monoid $S$. The first concentrated on the theory of regular $S$-acts. Here we review the material on model-theoretic properties of free, projective, and (strongly, weakly) flat $S$-acts. We consider questions of axiomatizability, completeness, model completeness, and stability for these classes. Most but not all of the results have already appeared; we remark that the description of those monoids $S$ such that the class of free left $S$-acts is axiomatizable, is new.
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 164, Issue 2, Pages 195–227
DOI: https://doi.org/10.1007/s10958-009-9720-8
Bibliographic databases:
UDC: 510.67+512.56
Language: Russian
Citation: V. Gould, A. V. Mikhalev, E. A. Palyutin, A. A. Stepanova, “Model-theoretic properties of free, projective, and flat $S$-acts”, Fundam. Prikl. Mat., 14:7 (2008), 63–110; J. Math. Sci., 164:2 (2010), 195–227
Citation in format AMSBIB
\Bibitem{GouMikPal08}
\by V.~Gould, A.~V.~Mikhalev, E.~A.~Palyutin, A.~A.~Stepanova
\paper Model-theoretic properties of free, projective, and flat $S$-acts
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 7
\pages 63--110
\mathnet{http://mi.mathnet.ru/fpm1174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2533598}
\transl
\jour J. Math. Sci.
\yr 2010
\vol 164
\issue 2
\pages 195--227
\crossref{https://doi.org/10.1007/s10958-009-9720-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-71649105820}
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  • https://www.mathnet.ru/eng/fpm1174
  • https://www.mathnet.ru/eng/fpm/v14/i7/p63
    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :190
    References:58
    First page:1
     
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