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arXiv · 2212.08605

Polyadic rings of $p$-adic integers

Steven Duplij
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Abstract

In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become $\left( m,n\right) $-rings. Second, we introduce a possible $p$-adic analog of the residue class modulo a $p$-adic integer. Then, we find the relations which determine, when the representatives form a $\left( m,n\right) $-ring. At the very short spacetime scales such rings could lead to new symmetries of modern particle models.

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Steven Duplij. 2022-12-09. Polyadic rings of $p$-adic integers. https://doi.org/10.3390/sym14122591

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