Categories of H-Hopf Bimodule Coalgebras and Categories of Coalgebras
Yongping Wu
Abstract
Yongping Wu
Abstract
The definition of H-Hopf bimodule coalgebras is introduced.Let H be a cocommutative Hopf algebra,and the category of H-Hopf bimodule coalgebras is proved to be equivalent to the category of coalgebras.
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The definition of H-Hopf bimodule coalgebras is introduced.Let H be a cocommutative Hopf algebra,and the category of H-Hopf bimodule coalgebras is proved to be equivalent to the category of coalgebras.
Key concepts: Bimodule, Mathematics, Hopf algebra, Algebra over a field, Pure mathematics, Arithmetic