Timeline for Lattice-ordered group of rational rank 1
Current License: CC BY-SA 4.0
13 events
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| Feb 4, 2020 at 19:18 | history | edited | YCor | CC BY-SA 4.0 |
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| Jul 26, 2013 at 1:05 | history | edited | user9072 |
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| Jan 13, 2013 at 22:54 | vote | accept | Rajnish | ||
| Jan 13, 2013 at 21:16 | comment | added | Andreas Blass | For abelian groups, I'd expect "rational rank 1" to mean that the group is isomorphic to a non-zero subgroup of $\mathbb Q$. For non-abelian groups, I won't make a guess. | |
| Jan 13, 2013 at 16:26 | answer | added | Todd Trimble | timeline score: 3 | |
| Jan 13, 2013 at 2:39 | comment | added | Todd Trimble | By "rational rank 1", do you simply mean that the underlying group is isomorphic to $\mathbb{Q}$? | |
| Jan 11, 2013 at 3:13 | comment | added | boumol | Have you thought about considering the following? Take the group structure of your totally ordered group, and as lattice structure take some non total order (compatible with the group operation). This has to work. | |
| Jan 11, 2013 at 3:00 | comment | added | Rajnish | Maximal number of rationally independent elements is called a rational rank. I think rational rank does not depend on the lattice. | |
| Jan 11, 2013 at 2:57 | comment | added | boumol | It is not clear to me what you mean with rational rank, but I suspect it does not depend on the lattice structure (i.e., it only depends on the group operation). Could you be more precise? | |
| Jan 11, 2013 at 2:47 | comment | added | Rajnish | @ Boumol, thanks. Sorry, I did not mention in question but I am looking lattice ordered but not the totally ordered. | |
| Jan 11, 2013 at 2:24 | comment | added | boumol | Totally ordered groups are in particular lattice-ordered ones. | |
| Jan 11, 2013 at 2:03 | history | edited | user5810 | CC BY-SA 3.0 |
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| Jan 11, 2013 at 0:57 | history | asked | Rajnish | CC BY-SA 3.0 |