Timeline for Description of quasi-coherent modules on a product
Current License: CC BY-SA 2.5
3 events
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| Feb 21, 2011 at 16:13 | comment | added | David Ben-Zvi | You can use generators to show a category is the tensor product of others, since modules over a tensor product of algebras are given by the categorical tensor product of module categories. So if eg you were in an Artinian situation and you had a projective generators, you'd describe your categories as modules for their endomorphisms and thus describe the tensor product category. The problem is that you don't tend to have projective generators! | |
| Feb 21, 2011 at 8:33 | comment | added | Martin Brandenburg | Thanks. I must admit that I have not enough background to understand your answer. But I actually doubt that we can just use "generators" here and related questions. The problem with these is that a represention with generators is always non-unique, and then it's a hard step to show functoriality. | |
| Feb 21, 2011 at 3:22 | history | answered | David Ben-Zvi | CC BY-SA 2.5 |