Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Singha, Manoranjan, Pradhan, Rohan
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7160944841