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Title: Some remarks on protolocalizations and protoadditive reflections
Authors: Clementino, Maria Manuel 
Gran, Marino 
Janelidze, George 
Keywords: Localization; protolocalization; protoadditive reflection; Kurosh–Amitsur radical; attainable subvariety; internal group; short exact sequence.
Issue Date: Jan-2018
Publisher: World Scientific Publishing
Project: CMUC-UID/MAT/00324/2013 
Serial title, monograph or event: Journal of Algebra and Its Applications
Volume: 17
Issue: 11
Abstract: 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.
DOI: 10.1142/S0219498818502079
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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