Author(s): Clementino, Maria Manuel ; Gran, Marino ; Janelidze, George
Date: 2018
Persistent ID: https://hdl.handle.net/10316/89422
Origin: Estudo Geral - Universidade de Coimbra
Subject(s): Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.
We investigate additional properties of protolocalizations, introduced and studied by Borceux, Clementino, Gran, and Sousa, and of protoadditive reflections, introduced and studied by Everaert and Gran. Among other things, we show that there are no nontrivial (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.
