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Mar 3, 2010 at 4:51 vote accept Alfonso Gracia-Saz
Mar 3, 2010 at 2:35 history edited t3suji CC BY-SA 2.5
added another example
Mar 2, 2010 at 22:41 history edited t3suji CC BY-SA 2.5
changed example with lcm to gcd
Mar 2, 2010 at 22:39 comment added t3suji @Johannes Hahn: Oops, I just hate these abbreviations :) Thanks, I'll fix it.
Mar 2, 2010 at 20:59 comment added Paul Yuryev Isn't S isomorphic to k[x,y]? (in which case it is even a UFD)
Mar 2, 2010 at 20:18 comment added Alfonso Gracia-Saz Duh. That seems to work. Is $S$ a GCD-domain as well?
Mar 2, 2010 at 19:48 comment added Johannes Hahn You're computing the lcm and not the gcd. But the example works for these too: $gcd_R(a,b)=v$ and $gcd_S(a,b)=1$.
Mar 2, 2010 at 19:35 history answered t3suji CC BY-SA 2.5