Uniserial Noetherian Centrally Essential Rings
Rings and Algebras
2019-07-05 v2
Abstract
It is proved that a ring is a right uniserial, right Noetherian centrally essential ring if and only if is a commutative discrete valuation domain or a left and right Artinian, left and right uniserial ring. It is also proved that there exist non-commutative uniserial Artinian centrally essential rings. Victor Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. Askar Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.
Keywords
Cite
@article{arxiv.1907.00946,
title = {Uniserial Noetherian Centrally Essential Rings},
author = {Victor Markov and Askar Tuganbaev},
journal= {arXiv preprint arXiv:1907.00946},
year = {2019}
}