2 papers
math.GR2026
Ring-induced localizations of nilpotent groups
Sergei O. Ivanov, Georgii Kadantsev, Aleksandr Krasilnikov
For a commutative ring , we study the -localization functor on the category of groups, defined as localization with respect to the homomorphism . Our main re…
math.CT2023
A Note on the Non-Existence of Functors
Emmanuel Dror Farjoun, Sergei O. Ivanov, Aleksandr Krasilnikov +1
We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vec…