Elementary Equivalence of Endomorphism Monoids of Almost Free S-Acts
In this paper, we study the connection between elementary equivalence of endomorphism monoids of almost free S-acts (acts that are unions of projective indecomposable cyclic S-acts) and equivalence (in first- or second-order logic) of original monoids.
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- 4.E. I. Bunina, “Chevalley groups over fields and their elementary properties,” Usp. Mat. Nauk, 59, No. 5, 952–953 (2004).Google Scholar
- 9.C. C. Chang and H. J. Keisler, Model Theory, North-Holland, Amsterdam (1973).Google Scholar
- 10.M. Kilp, U. Knauer, and A. V. Mikhalev, Monoids, Acts and Categories, Walter de Gruyter, Berlin (2000).Google Scholar
- 11.A. I. Maltsev, “On elementary properties of linear groups,” in: Problems of Mathematics and Mechanics [in Russian], Novosibirsk (1961), pp. 110–132.Google Scholar