i think its just reffering to vector space dimension I have no idea what the Krull dimension of this space is Also if i try lex in QQ the grobner basis i get out is [x + y + z - 3, y^2 + y*z - 3*y + z^2 - 3*z + 2, z^3 - 3*z^2 + 2*z + 2/3]
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