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@@@This is YOUR lucky day; I am a great intellect and there is no question I cannot answer. --shoot and be amazed !
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[quote:HolyShit:MV80NTkwMTcyXzgzNTc1MDQ0XzExRUMwNUE1] [quote:AlphaWolf:MV80NTkwMTcyXzgzNTc0Nzk2X0Y3QkY2QjI0] R- to S be a local homomorphism of complete local domains. Then there exists an R-algebra BR that is a balanced big Cohen–Macaulay algebra for R, an S-algebra {\displaystyle B_{S}}{\displaystyle B_{S}} that is a balanced big Cohen-Macaulay algebra for S, and a homomorphism BR - BS such that the natural square given by these maps commutes. [/quote] If that's a question, you have the answer. [/quote]
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