Geodesic
Logical aspects of the theory of rings and modules
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 1-62

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The rather complete review of logical (or model-theoretical) constructions and methods studied and used in ring and module theory is given. The historically first results (about algebraic reformulation of model theoretical notions — categoricity, stability) as well as modern ones, for example, concerning the problem of pure-simplicity is under consideration. 
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K. I. Beidar; A. V. Mikhalev; G. E. Puninskii. Logical aspects of the theory of rings and modules. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 1-62. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a0/