Timeline for General criterion to find a Z-basis in a fixed generating subset
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 19, 2014 at 1:51 | vote | accept | Hugo Chapdelaine | ||
| Jul 19, 2014 at 0:52 | answer | added | Richard Stanley | timeline score: 3 | |
| Jul 18, 2014 at 23:34 | review | Suggested edits | |||
| Jul 18, 2014 at 23:38 | |||||
| Jul 18, 2014 at 17:50 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
added 232 characters in body
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| Jul 18, 2014 at 17:46 | comment | added | Hugo Chapdelaine | no, I really meant what I wrote. | |
| Jul 18, 2014 at 14:16 | comment | added | David Handelman | I assume there is a typo in the question; did you intend to ask when you can find a $Z$-basis $B$ for $M$ that is part of a $Z$-basis of $V$? (That is, when is $M$ a direct summand of $V$?) Necessary and sufficient for this to happen is that the GCD of all the $k \times k$ minors equals $1$, where $k$ is the rank of $M$. | |
| Jul 18, 2014 at 13:18 | history | asked | Hugo Chapdelaine | CC BY-SA 3.0 |