%0 Journal Article %T On complements and the factorization problem for Hopf algebras %A Sebastian Burciu %J Mathematics %D 2010 %I arXiv %X Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type decomposition is proved for semisimple completely reducible Hopf algebras. %U http://arxiv.org/abs/1012.2540v1