ANT misprint

Dear Prof Kim,

I was wondering if you could explain to me why in the proof of Corollary 87 in the notes it says that if

Z[\alpha]= Span\{g_1,...,g_n\}

and

Z[\alpha] = Span\{h_1,...,h_m\},

then \alpha^i \beta^j belongs to the span of \{g_ih_j\}.

Is the second Z[\alpha] supposed to be Z[\beta] = Span\{h_1,...,h_m\} or have I missed something?

Any help would be appreciated.
————————————————————–

You are absolutely right It is a misprint that will be eventually corrected.

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