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A peer-reviewed article of this preprint also exists.

Steven Duplij

Steven Duplij

This version is not peer-reviewed

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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Submitted:

28 November 2022

Posted:

29 November 2022

You are already at the latest version

Alerts

A peer-reviewed article of this preprint also exists.

Steven Duplij

Steven Duplij

This version is not peer-reviewed

Submitted:

28 November 2022

Posted:

29 November 2022

You are already at the latest version

Alerts

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.

Keywords:

Subject: Computer Science and Mathematics - Algebra and Number Theory

Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.

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