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arxiv: 1012.2540 · v1 · pith:UUE4ZY7Qnew · submitted 2010-12-12 · 🧮 math.RA · math.QA

On complements and the factorization problem for Hopf algebras

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keywords hopfalgebrascomplementsprovedresultssemisimplealgebracompletely
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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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