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Need an example of not finitely generated graded algebra such that each its graded subspace has infinite dimension. |
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Need an example of not finitely generated graded algebra such that each its graded subspace has infinite dimension.More accurately, let $\displaystyle A=\sum_{i=0}^{\infty}A_i$ be a finitely generated graded algebra over say $\mathbb{Q}$ but $\dim A_i=\infty$ for each $i.$ Is it possible?
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