Actions of pro-groups and pro-rings
Group Theory
2026-05-08 v1 Category Theory
Rings and Algebras
Abstract
We give an explicit description of internal actions in the semi-abelian categories of pro-groups and non-unital pro-rings in terms of actions of group objects and ring objects in , as well as in some related categories. Also, we show that a similar result fails for Lie algebras.
Keywords
Cite
@article{arxiv.2205.13336,
title = {Actions of pro-groups and pro-rings},
author = {Egor Voronetsky},
journal= {arXiv preprint arXiv:2205.13336},
year = {2026}
}