On generators and cogenerators |
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| Authors: | Bodo Pareigis Moss E Sweedler |
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| Institution: | (1) Mathematisches Institut der Universität, Schellingstr. 2-8, 8 München 13;(2) Dept. of Mathematics, White Hall Cornell University, 14850 Ithaca, N.Y., USA |
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| 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. |
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