On the finite separability of finitely generated associative rings

Stanislav Kublanovsky

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arXiv · 2310.00308

On the finite separability of finitely generated associative rings

Stanislav Kublanovsky

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Abstract

We find necessary and sufficient conditions for the finite separability of monogenic rings. As a corollary, we prove that a finitely generated torsion-free PI-ring is finitely separable if and only if its additive group is finitely generated.

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Stanislav Kublanovsky. 2023-09-30. On the finite separability of finitely generated associative rings. https://arxiv.org/abs/2310.00308

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