Normalities and commutators

Giuseppe Metere, Giuseppe Metere, Sandra Mantovani

Risultato della ricerca: Articlepeer review

33 Citazioni (Scopus)


We first compare several algebraic notions of normality, from a categorical viewpoint. Then we introduce an intrinsic description of Higgins' commutator for ideal-determined categories, and we define a new notion of normality in terms of this commutator. Our main result is to extend to any semi-abelian category the following well-known characterization of normal subgroups: a subobject K is normal in A if. and only if, {[A, K] <= K. (C) 2010 Elsevier Inc. All rights reserved.}
Lingua originaleEnglish
pagine (da-a)2568-2588
Numero di pagine21
RivistaJournal of Algebra
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.2600.2602???


Entra nei temi di ricerca di 'Normalities and commutators'. Insieme formano una fingerprint unica.

Cita questo