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algebra universalis

, Volume 44, Issue 1–2, pp 123–128 | Cite as

Central extensions in universal algebra: a unification of three notions <

  • G. Janelidze
  • G.M. Kelly

Abstract.

We compare the categorical notion of central extension introduced in an earlier paper of ours, which generalized that used previously in non-abelian homological algebra by Fröhlich and Lue, with the notion of centrality arising from commutator theory in universal algebra, showing that they agree in the most important cases.

Keywords

Early Paper Important Case Central Extension Universal Algebra Homological Algebra 
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Copyright information

© Birkhäuser Verlag Basel, 2000

Authors and Affiliations

  • G. Janelidze
    • 1
  • G.M. Kelly
    • 2
  1. 1.Mathematical Institute of the Academy of Science, M. Alexidze str. 1, 380093 Tbilisi, GeorgiaGE
  2. 2.School of Mathematics and Statistics F07, University of Sydney, NSW 2006, Australia, e-mail: maxk@maths.usyd.edu.auAU

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