Arithmetical Rings and Krull Dimension
Rings and Algebras
2017-05-02 v1
Abstract
Let be a commutative arithmetical ring. The ring has Krull dimension if and only if every factor ring of is finite-dimensional and does not have idempotent proper essential ideals. The study is supported by Russian Science Foundation (project no. 16-11-10013).
Cite
@article{arxiv.1705.00181,
title = {Arithmetical Rings and Krull Dimension},
author = {Askar Tuganbaev},
journal= {arXiv preprint arXiv:1705.00181},
year = {2017}
}
Comments
7 pages