Some remarks on protolocalizations and protoadditive reflections
Category Theory
2021-02-18 v3 Rings and Algebras
Abstract
We investigate additional properties of protolocalizations, introduced and studied by F. Borceux, M. M. Clementino, M. Gran, and L. Sousa, and of protoadditive reflections, introduced and studied by T. Everaert and M. Gran. Among other things we show that there are no non-trivial (protolocalizations and) protoadditive reflections of the category of groups, and establish a connection between protolocalizations and Kurosh--Amitsur radicals of groups with multiple operators whose semisimple classes form subvarieties.
Cite
@article{arxiv.1702.08822,
title = {Some remarks on protolocalizations and protoadditive reflections},
author = {Maria Manuel Clementino and Marino Gran and George Janelidze},
journal= {arXiv preprint arXiv:1702.08822},
year = {2021}
}
Comments
12 pages