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algebra universalis

, Volume 41, Issue 3, pp 177–185 | Cite as

The slice classification of categories of coalgebras for comonads

  • S. Dalalyan
  • A. Petrosyan

Abstract.

We prove that the category G Set of all G-coalgebras in s-equivalent to the category Alg(1) of all unary algebras iff the functional part G of G is not a product of the identity functor I and a constant functor.

Key words and phrases: Functor slices, comonads, epitransformations, coalgebras for a comonad. 

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Copyright information

© Birkhäuser Verlag Basel, 1999

Authors and Affiliations

  • S. Dalalyan
    • 1
  • A. Petrosyan
    • 2
  1. 1.Department of Mathematics, Yerevan State University, 1, Alex Manoukian str., Yerevan, 375049, Armenia, e-mail: dalalyan@1x2.yerphi.amAR
  2. 2.Department of Mathematics, Yerevan State University, 1, Alex Manoukian str., Yerevan, 375049, Armenia, e-mail: arshak@instmath.sci.amAR

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