On the finite separability of finitely generated associative rings
Rings and Algebras
2023-10-03 v1
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.
Cite
@article{arxiv.2310.00308,
title = {On the finite separability of finitely generated associative rings},
author = {Stanislav Kublanovsky},
journal= {arXiv preprint arXiv:2310.00308},
year = {2023}
}
Comments
29 pages, in Russian language