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math.RA2023
On the finite separability of finitely generated commutative rings
Stanislav Kublanovsky
We find necessary and sufficient conditions for the finite separability of finitely generated commutative rings. Namely, we prove that every such ring is a finite extension of its…
math.RA2023
On the finite separability of finitely generated associative rings
Stanislav Kublanovsky
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 sepa…