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arXiv · 1908.10034

Distributive Noetherian Centrally Essential Rings

Victor Markov·Askar Tuganbaev
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Abstract

It is proved that a ring $A$ is a right or left Noetherian, right distributive centrally essential ring if and only if $A=A_1\times\cdots\times A_n$, where each of the rings $A_i$ 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.

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Victor Markov, Askar Tuganbaev. 2019-08-27. Distributive Noetherian Centrally Essential Rings. https://arxiv.org/abs/1908.10034

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