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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2501.18932 |
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| _version_ | 1866911693020332032 |
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| author | Talukdar, Nabajit |
| author_facet | Talukdar, Nabajit |
| contents | The zero divisor graph of a commutative ring $R$ with unity is a graph whose vertices are the nonzero zero-divisors of the ring, with two distinct vertices being adjacent if their product is zero. This graph is denoted by $Γ(R)$. In this article we determine the cut-edges and central vertices in the graph $Γ(\mathbb{Z}_{n})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n Talukdar, Nabajit Rings and Algebras 05C25 The zero divisor graph of a commutative ring $R$ with unity is a graph whose vertices are the nonzero zero-divisors of the ring, with two distinct vertices being adjacent if their product is zero. This graph is denoted by $Γ(R)$. In this article we determine the cut-edges and central vertices in the graph $Γ(\mathbb{Z}_{n})$. |
| title | Cut edges and Central vertices of zero divisor graph of the ring of integers modulo n |
| topic | Rings and Algebras 05C25 |
| url | https://arxiv.org/abs/2501.18932 |