An Abelian Loop for Non-Composites
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916514757607424 |
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| author | Bhat, Raghavendra N. |
| author_facet | Bhat, Raghavendra N. |
| contents | We define an abelian loop on a set $S$ consisting of 1 and all odd prime numbers with an operation $\bullet$, where for $a,b$ $\in$ $S$, $a$ $ \bullet$ $b$ is the smallest element of $S$ strictly larger than $|a-b|$. We use theorems and conjectures from number theory to prove properties of the loop and state analogous conjectures about the loop. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_14716 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An Abelian Loop for Non-Composites Bhat, Raghavendra N. General Mathematics We define an abelian loop on a set $S$ consisting of 1 and all odd prime numbers with an operation $\bullet$, where for $a,b$ $\in$ $S$, $a$ $ \bullet$ $b$ is the smallest element of $S$ strictly larger than $|a-b|$. We use theorems and conjectures from number theory to prove properties of the loop and state analogous conjectures about the loop. |
| title | An Abelian Loop for Non-Composites |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2110.14716 |