On Fri, 08 Sep 2000, Joseph Mitola III wrote:
>Let's be more careful about "isomorphisms". These can be constructed
>between algebraic groups (set, + operator, closure, identity element,
>etc, you know the drill); groups can be induced on some classes of
>function/algorithm, but not all.
Surely an isomorphism is a mapping between two mathematical objects which maps
all the elements of one object to all the elements of the other object in such
a manner that there is a one-to-one correspondence between elements. The two
objects in question need not be algebraic groups. Indeed, contrary to the
views of many theoretical chemists and physicists I have met, mathematicians do
study other objects besides groups! :-)
Peter McBurney
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Peter McBurney
Agent Applications, Research and Technology (Agent ART) Group
Department of Computer Science
University of Liverpool
Liverpool L69 7ZF
U.K.
Tel: + 44 151 794 6768
Email: [EMAIL PROTECTED]
Web page: www.csc.liv.ac.uk/~peter/
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