The structure of bialgebra with a Hopf module |
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Authors: | Wenzheng Zhao Tianshui Ma |
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Institution: | 1. College of Mathematics and Information Science, Henan Normal University, Xinxiang, China
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Abstract: | Let H be a Hopf algebra, B a bialgebra, and (B, ?, ρ) a right H-Hopf module. Assume that (B, ρ) is a right H-comodule algebra, (B, ?) is a right H-module coalgebra, and let A = B co H = {a ∈ B | ρ(a) = a ? 1}. Then we prove that B has a factorization of A□ ρ ? (the underlying space is A ? H) as a bialgebra, which generalizes Radford’s factorization of bialgebras with projection 12]. |
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