Autor(es): Clementino, Maria Manuel ; Gran, Marino ; Janelidze, George
Data: 2018
Identificador Persistente: https://hdl.handle.net/10316/89422
Origem: Estudo Geral - Universidade de Coimbra
Assunto(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.
