Timeline for Failure of little lemma in non-separable case
Current License: CC BY-SA 3.0
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| Mar 22, 2015 at 7:14 | comment | added | KConrad | See exercises 11 and 12 of section 5, chapter 3 (pp. 205-206) of Borevich and Shafarevich's Number Theory. In this example $B$ does not have a finite basis as an $A$-module (what Borevich and Shafarevich call a "fundamental basis" of $L/K$), and since $A$ is a PID and $B$ is torsion-free that means $B$ can't be a finitely generated $A$-module. | |
| Mar 22, 2015 at 7:04 | history | asked | Jens Reinhold | CC BY-SA 3.0 |