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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.

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transcendence degree of subring of polynomial ring

Hi all Quick question that I think is true but haven't been able to prove. Suppose there is a subring $R \subset k[x_1, \ldots, x_r]$ containing field $k$ and generated by homogenous polynomials $p_ …
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