English

On complements and the factorization problem for Hopf algebras

Rings and Algebras 2012-08-07 v1 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.1012.2540,
  title  = {On complements and the factorization problem for Hopf algebras},
  author = {Sebastian Burciu},
  journal= {arXiv preprint arXiv:1012.2540},
  year   = {2012}
}

Comments

13 pages; no figures; submitted

R2 v1 2026-06-21T16:57:17.719Z