Re: a question about algebraic numbers


In article <rek03294pmq5kgr9h6sjst5lnep67174hv@xxxxxxx>,
quasi <quasi@xxxxxxxx> wrote:

Question:

Let a,b be algebraic, and let m=deg(a), n=deg(b).

If (m,n)=1 must deg(a*b)=m*n?

Not quite. If b=0, then n=1, so (m,n)=1 for all m; but
deg(ab)=deg(0)=1, regardless of the value of m.

--
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"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes")
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Arturo Magidin
magidin@xxxxxxxxxxxxxxxxx

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