Geodesic
Elementary equivalence of endomorphism monoids of almost free $S$-acts
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 37-52.

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In this paper, we study the connection between elementary equivalence of endomorphism monoids of almost free $S$-acts (the 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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E. I. Bunina; N. V. Yugay. Elementary equivalence of endomorphism monoids of almost free $S$-acts. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 37-52. http://geodesic.mathdoc.fr/item/FPM_2016_21_2_a1/

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