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Topic: function arity > 2
Replies: 7   Last Post: Jan 17, 2013 1:37 AM

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 JohnF Posts: 219 Registered: 5/27/08
function arity > 2
Posted: Jan 16, 2013 12:44 AM

As in universal algebra, where introductory discussions
typically suggest arity>2 not often used. Are there any
functions f:N^3-->N (domain integers) that can't be
decomposed into some g,h:N^2-->N, where f(i,j,k)=g(i,h(j,k))?
If so (i.e., if arity>2 needed), got an example? If not,
got a proof? And, if not for integers, is there any domain D
where f:D^3-->D can't be decomposed like that (example or
proof again appreciated)?
--
John Forkosh ( mailto: j@f.com where j=john and f=forkosh )

Date Subject Author
1/16/13 JohnF
1/16/13 Butch Malahide
1/16/13 JohnF
1/16/13 Butch Malahide
1/16/13 JohnF
1/16/13 Butch Malahide
1/17/13 JohnF
1/16/13 Graham Cooper