Polyadic rings of $p$-adic integers
Rings and Algebras
2022-12-23 v1 High Energy Physics - Theory
Number Theory
Abstract
In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become -rings. Second, we introduce a possible -adic analog of the residue class modulo a -adic integer. Then, we find the relations which determine, when the representatives form a -ring. At the very short spacetime scales such rings could lead to new symmetries of modern particle models.
Cite
@article{arxiv.2212.08605,
title = {Polyadic rings of $p$-adic integers},
author = {Steven Duplij},
journal= {arXiv preprint arXiv:2212.08605},
year = {2022}
}
Comments
9 pages, amslatex, the journal version: small corrections and changes, Example 2.1 and Conclusions added, Bibliography updated; https://www.mdpi.com/2073-8994/14/12/2591