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Mathematics > Logic

arXiv:1804.09351 (math)
[Submitted on 25 Apr 2018 (v1), last revised 8 May 2018 (this version, v2)]

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

Authors:Victoria Gould, Alexander Mikhalev, Evgeny Palyutin, Alena Stepanova
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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.
Subjects: Logic (math.LO)
Cite as: arXiv:1804.09351 [math.LO]
  (or arXiv:1804.09351v2 [math.LO] for this version)
  https://doi.org/10.48550/arXiv.1804.09351

Submission history

From: Alena Stepanova [view email]
[v1] Wed, 25 Apr 2018 05:13:06 UTC (99 KB)
[v2] Tue, 8 May 2018 07:12:14 UTC (43 KB)
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