Re: Semigroup problem
- From: William Elliot <marsh@xxxxxxxxxxxxxxxxxx>
- Date: Sun, 11 May 2008 21:16:02 -0700
On Sun, 11 May 2008 marcjhg@xxxxxxxxx wrote:
Let * be a semigroup operation that satisfies the followingYes, we're interested in this problem. Are you?
properties:
all z exists x exists y (x * y = z).
all x all y (F(x) * G(y) = y * x).
The problem is: prove that * is commutative or find a counterexample
(finite if it is possible) to this claim.
Are you interested enought in this problem to give a clear,
complete and unambiguous statement of the problem, explaining
in addition, about F and G.
Please do, otherwise the thread will continuing rambling
about what actually is the problem or if it's just a joke.
Riddle of the day. Are F and G capital punishments?
.
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