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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.08942 |
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| _version_ | 1866929343806046208 |
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| author | Calci, Tugce Pekacar Soycan, Serhat Emirhan |
| author_facet | Calci, Tugce Pekacar Soycan, Serhat Emirhan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08942 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reversibility of rings with respect to the Zhou Radical Calci, Tugce Pekacar Soycan, Serhat Emirhan Rings and Algebras 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. |
| title | Reversibility of rings with respect to the Zhou Radical |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2405.08942 |