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Higher Central Extensions in Mal’tsev Categories

2012/09/20 by Tomas Everaert
Mathematics · #Algebraic structures and combinatorial models #Arrow #Categorical variable #Class (philosophy) #Embedding problem #Galois theory #Homotopy and Cohomology in Algebraic Topology #Morphism #Rings, Modules, and Algebras #Scope (computer science) #Theory of computation #math.CT

paper · pdf · doi:10.1007/s10485-013-9351-6

published as Applied Categorical Structures October 2014, Volume 22, Issue 5-6, pp 961-979

arxiv created 2012/09/20 · openalex publication_date 2013/12/02 · arxiv updated 2015/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Higher dimensional central extensions of groups were introduced by G. Janelidze as particular instances of the abstract notion of covering morphism from categorical Galois theory. More recently, the notion has been extended to and studied in arbitrary semi-abelian categories. In this article, we further extend the scope to exact Mal'tsev categories and beyond.

Citations