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arXiv · 2405.08942

Reversibility of rings with respect to the Zhou Radical

Tugce Pekacar Calci·Serhat Emirhan Soycan
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Abstract

Let $R$ be a ring with identity and $δ(R)$ denote the Zhou radical of $R$. A ring $R$ is called {\it $δ$-reversible} if for any $a$, $b \in R$, $ab = 0$ implies $ba \in δ(R)$. In this paper, we give some properties of $δ$-reversible rings. We examine some extensions of $δ$-reversible rings.

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Tugce Pekacar Calci, Serhat Emirhan Soycan. 2024-05-14. Reversibility of rings with respect to the Zhou Radical. https://arxiv.org/abs/2405.08942

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