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arXiv · 2410.14576

Idempotents of $\mathbb{Z}_n$

Suman Mondal·Dhiren Kumar Basnet
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Abstract

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 $n \in \mathbb{N}$.

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Suman Mondal, Dhiren Kumar Basnet. 2024-10-18. Idempotents of $\mathbb{Z}_n$. https://arxiv.org/abs/2410.14576

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