Timeline for Rank versus free-rank of a module
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 22, 2015 at 22:55 | comment | added | Jeremy Rickard | @AndresAbella See for example the references in this MO answer: mathoverflow.net/questions/10128/when-is-a-isomorphic-to-a3/… | |
| Oct 22, 2015 at 17:48 | comment | added | Andres Abella | @Jeremy Thanks for your clear answer. Can you give me a reference for the assertion "There are abelian groups A such that A≅A⊕A⊕A but A≆A⊕A"? I didn't know this result and I can't find it. | |
| Oct 22, 2015 at 3:43 | vote | accept | Andres Abella | ||
| Oct 21, 2015 at 20:44 | comment | added | Johannes Hahn | You're right. I obviously didn't read carefully. | |
| Oct 21, 2015 at 18:46 | comment | added | Jeremy Rickard | @JohannesHahn I've edited to give an example with the IBN property (I think). | |
| Oct 21, 2015 at 18:45 | history | edited | Jeremy Rickard | CC BY-SA 3.0 |
added 267 characters in body
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| Oct 21, 2015 at 17:57 | comment | added | Jeremy Rickard | No, but the OP defined the free rank to be the minimal number of free generators. | |
| Oct 21, 2015 at 17:54 | comment | added | Johannes Hahn | Does $E$ have the IBN property? In other words: Is the free-rank even well-defined? Isn't $E\cong E^{3\times 3} = E^9$ ? | |
| Oct 21, 2015 at 17:51 | history | answered | Jeremy Rickard | CC BY-SA 3.0 |