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2011-03-16 12:58:28 +0200 | commented answer | Prime ideals and "Point on Spectrum" @niles -- Thanks again for your efforts. I filed the ticked (#10949). |
2011-03-15 23:16:03 +0200 | received badge | ● Scholar (source) |
2011-03-15 23:16:03 +0200 | marked best answer | Prime ideals and "Point on Spectrum" Spec means the same thing in Sage that it does everywhere else. It's just that
However So if you were calling Unfortunately, the To me, this all seems confusing, shoddy, and disappointing; you should file a ticket on Trac for this (if there isn't one already). If you're in a situation where you need this functionality, I would suggest adding a line of code to check whether the ideal is prime before you pass it to |
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2011-03-15 23:15:56 +0200 | commented answer | Prime ideals and "Point on Spectrum" @John Palmieri. I shouldn't fill a trac ticket then? Thanks for your efforts. |
2011-03-15 23:02:16 +0200 | commented answer | Prime ideals and "Point on Spectrum" @niles It makes perfect sense now. Thank you. |
2011-03-15 16:13:32 +0200 | asked a question | Prime ideals and "Point on Spectrum" The spectrum of the ring of integers $\mathbb{Z}$ consists of the prime ideals, i.e. $Spec(\mathbb{Z}) = \cup_{p \space prime}p\mathbb{Z} \cup (0)$. Obviously, nZ is not a prime ideal, as 6 is composite. Hence by definition, it is not in $Spec(\mathbb{Z})$. So what does "Point on Spectrum" means exactly in Sage? Thanks |
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2011-03-13 10:58:43 +0200 | asked a question | Tensor products in Sage Computing the tensor product of two matrices A, B is quite straightforward through A.tensor_product(B). What about computing the tensor product of some field extensions L and K over $\mathbb{Q}$? Or the tensor products of some ring of integers $\mathcal{O}_K$ of a field extension K and $\mathbb{Z}/\mathbb{pZ}$ over $\mathbb{Z}$. Other instances of tensor product computations in Sage is welcomed, not necessarily as constructive, but illustrative enough to aid in studying Tensor products. |