Logical aspects of the theory of rings and modules

K. I. Beidar; A. V. Mikhalev; G. E. Puninskii

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Logical aspects of the theory of rings and modules

K. I. Beidar ; A. V. Mikhalev ; G. E. Puninskii

Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 1-62.

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Résumé

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/

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