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List:       ruby-talk
Subject:    Re: ruby-math and "why is ** not abelian?"
From:       "Josef 'Jupp' SCHUGT" <jupp () gmx ! de>
Date:       2004-01-27 0:46:32
Message-ID: 20040126221508.GD3659 () jupp%gmx ! de
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Hi!

* Van Jacques:
> If + is commutative, and the successor operation to + is *, which
> is also commutative;
> (a*b = b*a), then why isn't a**b = b**a since ** is successor
> operation to * ?

Neither (Float, +) nor (Float, *) is a group. A non-group cannot be
an Abelian group.

Josef 'Jupp' SCHUGT
-- 
http://oss.erdfunkstelle.de/ruby/    -     German comp.lang.ruby-FAQ
http://rubyforge.org/users/jupp/     -     Ruby projects at Rubyforge
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