2017/02/28 by Maria Manuel Clementino, Marino Gran, George Janelidze
Computer Science · Decision Sciences · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Connection (principal bundle) #Fuzzy and Soft Set Theory #Geometry #Mathematics #Pure mathematics #Rings, Modules, and Algebras #math.CT #math.RA #msc:08B99 #msc:16N80 #msc:18A40 #msc:18C05 #msc:18E40
paper · pdf · doi:10.1142/s0219498818502079
published as Journal of Algebra and its Applications, Vol. 17 (11) 1850207 (2018) · 12 pages
openalex publication_date 2017/12/18 · arxiv created 2021/02/16 · arxiv updated 2021/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
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 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.