Homology, Homotopy and Applications

Volume 18 (2016)

Number 1

A note on descent for coalgebras

Pages: 339 – 342

DOI: https://dx.doi.org/10.4310/HHA.2016.v18.n1.a18

Authors

Maurice Kianpi (Department of Mathematics, Faculty of Science, University of Yaounde I, Cameroon)

Celestin Nkuimi-Jugnia (Department of Mathematics, Faculty of Science, University of Yaounde I, Cameroon)

Abstract

Every natural transformation between endofunctors induces a functor between the categories of their coalgebras.We give sufficient conditions for that functor to preserve and reflect descent and effective descent morphisms.

Keywords

category, (conservative) functor, pullback, coequalizer, preservation, reflection, (cartesian, natural) transformation, coalgebra, (effective) descent morphism

2010 Mathematics Subject Classification

18A20, 18A23, 18A30, 18A32

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Published 31 May 2016