Non-Jordaness of the automorphism group of the zero-divisor graph of a matrix ring over number rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908474121650176 |
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| author | Hwang, WonTae Kyaw, Ei Thu Thu |
| author_facet | Hwang, WonTae Kyaw, Ei Thu Thu |
| contents | We provide a construction of the induced subgraphs of the zero-divisor graph of $M_2(R)$ for the ring $R$ of algebraic integers of some number fields that are neither complete nor connected, and study the structure of the induced subgraphs explicitly. As an application, we prove that the automorphism group of the zero-divisor graph of $M_2(R)$ is not a Jordan group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_08349 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Jordaness of the automorphism group of the zero-divisor graph of a matrix ring over number rings Hwang, WonTae Kyaw, Ei Thu Thu Combinatorics 05C25, 05C50, 05E18, 14H45, 11R04 We provide a construction of the induced subgraphs of the zero-divisor graph of $M_2(R)$ for the ring $R$ of algebraic integers of some number fields that are neither complete nor connected, and study the structure of the induced subgraphs explicitly. As an application, we prove that the automorphism group of the zero-divisor graph of $M_2(R)$ is not a Jordan group. |
| title | Non-Jordaness of the automorphism group of the zero-divisor graph of a matrix ring over number rings |
| topic | Combinatorics 05C25, 05C50, 05E18, 14H45, 11R04 |
| url | https://arxiv.org/abs/2403.08349 |