Let k be a field of characteristic zero and let a,b,c,d belong to k[x,y].
Assume that k[x,y] is flat over R_1=k[a+c,b+d] and over R_2=k[a-c,b-d].
Is it true that k[x,y] is flat over R=k[a,b,d,c]?
It wouls be nice to see a counterexample or add an additional condition which would guarantee flatness of k[x,y] over R.
I have asked the above question in MO and MSE:
https://mathoverflow.net/questions/379369/flatness-of-certain-subrings
Any hints and ideas are welcome; Thank you!
A. 0001, posted 2020/12/22
Vered Moskowicz
Where does the question come from? What should it be good for?
Why do you waste your time on disproved mathematics?
There is no group in algebra of expert opinion. Following no ring also no field.
If you are at the niveau of a mathematician see my reform at www.mathe-neu.de
Are you able to understand? To disprove? Wake up!
Regards, the reformer Peter
Hi Peter,
Thank you for reading my question. I thought that I was missing a trivial known fact, so I have asked it.
Sincerely,
Vered M
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