by Caenepeel, S.; Ion, Bogdan; Militaru, G.; Zhu, Shenglin

We consider the factorization problem for bialgebras. Let L and H be algebras and coalgebras (but not necessarily bialgebras) and consider two maps R : H ⊗ L → L ⊗ H and W : L ⊗ H → H ⊗ L. We introduce a product K = L

_W
⋈
_R

H and we give necessary and sufficient conditions for K to be a bialgebra. Our construction generalizes products introduced by Majid and Radford. Also, some of the pointed Hopf algebras that were recently constructed by Beattie, Dăscălescu and Grünenfelder appear as special cases.

DOI: 10.1023/A:1009917210863
Print publication date: 3/1/2000
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