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Timeline for sub ring of algebra over subfield

Current License: CC BY-SA 3.0

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Oct 19, 2013 at 23:35 comment added Todd Trimble If you need $a\notin B$, a counterexample is $A=k(a)[T]$, $B=k[T]+Tk(a)[T]$, $x=T$, $y=−aT$. – Kevin Ventullo Jul 20 '11 at 22:15
Jul 6, 2011 at 18:59 comment added GH from MO I might be missing something, but a counterexample to your first question is $A=B=k[a]$, $x=1$, $y=-a$.
Jul 6, 2011 at 18:52 history edited GH from MO CC BY-SA 3.0
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Jul 6, 2011 at 17:36 comment added Mariano Suárez-Álvarez What rôle does $B$ play in your first paragraph?
Jul 6, 2011 at 17:23 history asked ventura CC BY-SA 3.0