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$\text{A#H#H}$$\text{A#H#H*}$ is isomorphic to $M_n(A)$. You may check Moss E.Sweedler's textbook: "Hopf algebras" to find the proof

$\text{A#H#H}$ is isomorphic to $M_n(A)$.

$\text{A#H#H*}$ is isomorphic to $M_n(A)$. You may check Moss E.Sweedler's textbook: "Hopf algebras" to find the proof

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T. Amdeberhan
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A#H#H*$\text{A#H#H}$ is isomorphic to M_n(A)$M_n(A)$.

A#H#H* is isomorphic to M_n(A)

$\text{A#H#H}$ is isomorphic to $M_n(A)$.

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A#H#H* is isomorphic to M_n(A)

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