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Jan 5, 2016 at 20:33 vote accept CommunityBot
Jan 5, 2016 at 20:21 answer added Gregor Kemper timeline score: 3
Jan 2, 2016 at 15:13 comment added Venkataramana Atiyah Mcdonald (commutative algebra) have a section on finite integral extension a
Jan 2, 2016 at 14:27 comment added user6671 Thanks! Do you have a reference where I could read this up and fill in the details of the proof you just gave?
Jan 2, 2016 at 14:24 comment added Venkataramana yes, it is true. You can extend a maximal ideal in the ring of invariants to a maximal ideal in the whole polynomial ring. Otherwise, the polynomial span of the smaller maximal ideal generates the unit ideal (nullstellensatz) , and by taking invariants under the finite group you get that the maximal ideal contains $1$. This argument holds for any finite integral extension
Jan 2, 2016 at 14:16 history edited user6671 CC BY-SA 3.0
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Jan 2, 2016 at 14:08 history asked user6671 CC BY-SA 3.0