Timeline for Bi-embeddability vs. isomorphism
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| S Jan 25, 2015 at 16:03 | history | suggested | Jake | CC BY-SA 3.0 |
Improved formula markup
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| Jan 25, 2015 at 15:53 | review | Suggested edits | |||
| S Jan 25, 2015 at 16:03 | |||||
| Oct 16, 2009 at 7:05 | comment | added | Simon Wadsley | If by finitely generated you mean under direct sum in an additive category then I think that will be true. | |
| Oct 15, 2009 at 22:54 | comment | added | John Goodrick | Thanks! This is exactly the kind of example I was looking for. Abstracting a bit, it seems that if you ever have a "reasonable" category of algebraic objects with two "indecomposables" A and B which are bi-embeddable but nonisomorphic, then you ought to be able to take the subcategory of all objects "finitely generated by A and B" and get a similar thing satisfying both 1 and 2. I'm too lazy at the instant to think what's the optimal way to make this precise -- maybe it should be a statement about abelian categories? | |
| Oct 15, 2009 at 22:45 | vote | accept | John Goodrick | ||
| Oct 15, 2009 at 15:31 | history | answered | Simon Wadsley | CC BY-SA 2.5 |