[seqfan] Re: A certain semigroup

[Max Alekseyev]

It seems that you meant the equivalence relation that is *transitive
closure* of the described relation.
The triple {S1,S2,S3} is an equivalence class under this (transitively
closed) equivalence relation.

Regards,
Max

On Tue, Nov 18, 2008 at 1:56 PM, David Newman <davidsnewman at gmail.com> wrote:
> I see your problem and perhaps I could have done better in posing the
> question.  I agree that what I have described is not an equivalence
> relation.
>
> The triple {S1,S2,S3} or
>
>  {{a,b,b,a,c,c,b},{b,a,a,b,c,c,b},{b,a,a,c,b,b,c}}
> which you've mentioned, counts as one element of the set which I am trying
> to count.  No other words belong in there because no others are equivalent
> to either S1, S2, or S3.
>
> Does this answer your question?  Or am I leaving myself open to several
> interpretations?
>
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