2018/04/25 by Victoria Gould, Gould, Victoria, A. V. Mikhalëv +5
Computer Science · Mathematics · Biochemistry, Genetics and Molecular Biology · #semigroups and automata theory #Geometric and Algebraic Topology #DNA and Biological Computing
paper · pdf · doi:10.48550/arxiv.1804.09351
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.