On complements and the factorization problem for Hopf algebras

Mathematics – Rings and Algebras

Scientific paper

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13 pages; no figures; submitted

Scientific paper

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.

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