binomial rings 1group localization 1Hall-Petresco identities 1nilpotent groups 1p-adic integers 1quasivarieties 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.GR2026
Ring-induced localizations of nilpotent groups
Sergei O. Ivanov, Georgii Kadantsev, Aleksandr Krasilnikov
The paper investigates the localization of groups with respect to a commutative ring R and proves that if R is a binomial ring (such as the p‑adic integers), then the R‑localizatio…
math.AT2026
The discrete homotopy hypothesis for directed graphs
Briony Eldridge, Sergei O. Ivanov, Xiaomeng Xu +2
We develop a homotopy theory of directed graphs based on cubical homotopy groups, also referred to as A-groups or reduced GLMY homotopy groups. Localizing the category of directed…
math.AT2025
Bousfield-Kan completion as a codensity -monad
Emmanuel Dror Farjoun, Sergei O. Ivanov
Working in the setting of -categories, we develop a general theory of the codensity monad associated with a full subcategory $\mathcal{D}\subseteq \mathcal{…