English

Distributive Noetherian Centrally Essential Rings

Rings and Algebras 2019-08-28 v1

Abstract

It is proved that a ring AA is a right or left Noetherian, right distributive centrally essential ring if and only if A=A1××AnA=A_1\times\cdots\times A_n, where each of the rings AiA_i is either a commutative Dedekind domain or a uniserial Artinian centrally essential (not necessarily commutative) ring. V.T.Markov is supported by the Russian Foundation for Basic Research, project 17-01-00895-A. A.A.Tuganbaev is supported by Russian Scientific Foundation, project 16-11-10013.

Keywords

Cite

@article{arxiv.1908.10034,
  title  = {Distributive Noetherian Centrally Essential Rings},
  author = {Victor Markov and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:1908.10034},
  year   = {2019}
}
R2 v1 2026-06-23T10:57:38.125Z