On Tue, 4 Apr 2017, Robin van der veer wrote:

Thanks for your reply.To me the essence of the definition of join and 
meetsemilattice is about joins/meets existing for ALL
pairs, as opposed to some pairs.

As a slow code you can just say something like

Matrix([join2(L, a, b) for a in L] for b in L])

As for your code, I think you want to return j.bottom(), not just the first 
element of j, correct?

Actually it is the same thing, as for any poset P in Sage we have P[0], P[1], ... a linear extension of P.

Either way I'm not sure that this is efficient enough to be workable, but I will try it. 

It should be quite easy to make faster one for bigger posets. OTOH Sage is about never very fast compared to C code, when your computation has for-loops. But then, nowadays computers are so fast that even "slow" code is often fast.

--
Jori Mäntysalo

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