Timeline for Is a ring with stable range 2 2-Hermite?
Current License: CC BY-SA 3.0
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Dec 20, 2016 at 4:22 | comment | added | rschwieb | crossposted | |
Dec 19, 2016 at 21:07 | comment | added | Matthias Wendt | Exercise I.1.5 of Weibel's K-book shows that $sr(R)=n$ implies that the ring is $n$-Hermite. The essential idea is that reducibility of unimodular rows implies that they can be completed to invertible matrices and completeability of the unimodular row implies freeness of the stably free module associated to the unimodular row. | |
Dec 19, 2016 at 20:36 | review | First posts | |||
Dec 19, 2016 at 21:18 | |||||
Dec 19, 2016 at 20:32 | history | asked | BillScroggs | CC BY-SA 3.0 |