Submitted:
04 November 2022
Posted:
10 November 2022
Read the latest preprint version here
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.
Keywords:
polyadic semigroup
; polyadic ring
; arity
; querelement
; residue class
; representative
; p-adic integer
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