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arXiv · 2605.09010

Reply to Some Questions of Quotients when ultrafilters divide ultrafilters

Manoranjan Singha·Rohan Pradhan
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Abstract

For ultrafilters u,v on N, the operation u/v is introduced and formalised which acts as quotient-like structures when v strongly divides u.Central to our study is the characterization of self-divisible ultrafilters in connection with the divisibility of u by u/v.Some results on the algebraic stability of multiplicative udempotents are presented.The paper also connects the combinatorial notions such as multiplicative delta sets,provoding characterization via self-divisible ultrafilters.

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Manoranjan Singha, Rohan Pradhan. 2026-05-09. Reply to Some Questions of Quotients when ultrafilters divide ultrafilters. https://arxiv.org/abs/2605.09010

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