%0 Journal Article %T Relative PBW type theorems for symmetrically braided Hopf algebras %A Bogdan Ion %J Mathematics %D 2010 %I arXiv %X We show that in characteristic zero all irreducible symmetrically braided Hopf algebras are of PBW type. Consequently, we obtain conditions for a braided Hopf algebra to be of PBW type as module over a braided Hopf subalgebra containing the coradical. %U http://arxiv.org/abs/1004.5022v1