Let $A$ be a $k$-algebra f.g. This means that I can write $A=k(S)$, with $S$ a finite set?
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2026-04-09 00:24:05.1775694245
About notation in f.g. $k$-algebras
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A $k$-algebra $A$ is finteley generated if there exists a finite set $S$ (possibly empty) such that $A=k[S]=\{ P(s_1,\ldots,s_n) \mid n\geq 0, P\in k[X_1,\ldots,X_n],s_1,\ldots,s_n\in S\}$.