On the finite separability of finitely generated commutative rings
Rings and Algebras
2023-10-09 v1
Abstract
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 torsion ideal where is square-free, and is a subdirect product of a finite ring and finitely many zero divisor-free rings of prime characteristic each of which is an entire extension of any of its infinite monogenic subrings.
Keywords
Cite
@article{arxiv.2310.03868,
title = {On the finite separability of finitely generated commutative rings},
author = {Stanislav Kublanovsky},
journal= {arXiv preprint arXiv:2310.03868},
year = {2023}
}
Comments
18 pages, in Russian language