B. Cuartero et al., LINEARLY COMPACT ALGEBRAIC LIE-ALGEBRAS AND COALGEBRAIC LIE COALGEBRAS, Proceedings of the American Mathematical Society, 125(7), 1997, pp. 1945-1952
It is Proved that if the dual Lie algebra of a Lie coalgebra is algebr
aic, then it is algebraic of bounded degree. This result is an analog
of the D.Radford's result for associative coalgebras.