论文标题

集中基本的环和半弦

Centrally Essential Rings and Semirings

论文作者

Tuganbaev, Askar

论文摘要

这项工作是对中央基本环和半弦的结果的评论。据说,戒指(分别为半序)是中心至关重要的,如果它是能够满足任何非中央元素$ a $的财产,则存在非零的中央元素$ x $和$ y $,带有$ ax = y $。中央必不可少的环类非常大;工作中给出了许多相应的示例

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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