Reply to Some Questions of Quotients when ultrafilters divide ultrafilters
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910205420240896 |
|---|---|
| author | Singha, Manoranjan Pradhan, Rohan |
| author_facet | Singha, Manoranjan Pradhan, Rohan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09010 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reply to Some Questions of Quotients when ultrafilters divide ultrafilters Singha, Manoranjan Pradhan, Rohan Logic General Topology 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. |
| title | Reply to Some Questions of Quotients when ultrafilters divide ultrafilters |
| topic | Logic General Topology |
| url | https://arxiv.org/abs/2605.09010 |