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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 63–110
(Mi fpm1174)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/fpm1174 https://www.mathnet.ru/eng/fpm/v14/i7/p63
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Abstract page: | 494 | Full-text PDF : | 182 | References: | 47 | First page: | 1 |
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