Geodesic
On local finite separability of finitely generated associative rings
Algebra i analiz, Tome 34 (2022) no. 2, pp. 95-117

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that analogs of the theorems of M. Hall and N. S. Romanovsky fail in the class of commutative rings. Necessary and sufficient conditions for local finite separability of monogenic rings is established. As a corollary, it is proved that a finitely generated torsion-free PI ring is locally finitely separable if and only if its additive group is finitely generated.
Keywords: finite pproximation, occurrence in a subring, monogenic ring, commutative ring, closedness in the profinite topology. 
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S. I. Kublanovskii. On local finite separability of finitely generated associative rings. Algebra i analiz, Tome 34 (2022) no. 2, pp. 95-117. http://geodesic.mathdoc.fr/item/AA_2022_34_2_a2/

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