manuscripta mathematica

, Volume 2, Issue 1, pp 49–66

On generators and cogenerators

Authors

  • Bodo Pareigis
    • Mathematisches Institut der Universität
    • Dept. of MathematicsWhite Hall Cornell University
  • Moss E. Sweedler
    • Dept. of MathematicsWhite Hall Cornell University
Article

DOI: 10.1007/BF01168479

Cite this article as:
Pareigis, B. & Sweedler, M.E. Manuscripta Math (1970) 2: 49. doi:10.1007/BF01168479

Abstract

We consider the existence of generators and cogenerators in several categories. In many cases the non-existence of cogenerators results from the construction of arbitrarily high dimensional simple (restricted) Lie algebras. The existence of generators in the Hopf algebra categories results from the existence of generators in a certain coalgebra category and the construction of a free Hopf algebra on a coalgebra.

Copyright information

© Springer-Verlag 1969