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arXiv · 2204.12127

Centrally Essential Rings and Semirings

Askar Tuganbaev
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Abstract

This work is a review of results about centrally essential rings and semirings. A ring (resp., semiring) is said to be centrally essential if it is either commutative or satisfy the property that for any non-central element $a$, there exist non-zero central elements $x$ and $y$ with $ax=y$. The class of centrally essential rings is very large; many corresponding examples are given in the work

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Askar Tuganbaev. 2022-04-26. Centrally Essential Rings and Semirings. https://arxiv.org/abs/2204.12127

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