Idempotents of $\mathbb{Z}_n$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910656882540544 |
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| author | Mondal, Suman Basnet, Dhiren Kumar |
| author_facet | Mondal, Suman Basnet, Dhiren Kumar |
| contents | We know that if there are $k$ distinct prime factors of $n \in \mathbb{N}$, then the ring $\mathbb{Z}_n$ of integers modulo $n$ has exactly $2^k$ idempotent elements. In this article, we try to describe all the idempotents of $\mathbb{Z}_n$ for any given $n \in \mathbb{N}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14576 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Idempotents of $\mathbb{Z}_n$ Mondal, Suman Basnet, Dhiren Kumar Number Theory We know that if there are $k$ distinct prime factors of $n \in \mathbb{N}$, then the ring $\mathbb{Z}_n$ of integers modulo $n$ has exactly $2^k$ idempotent elements. In this article, we try to describe all the idempotents of $\mathbb{Z}_n$ for any given $n \in \mathbb{N}$. |
| title | Idempotents of $\mathbb{Z}_n$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.14576 |