Problem related to a polynomial ring

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Question: Let R be a polynomial ring over an infinite field k and I a graded ideal of height r. If I is minimally generated by forms of degree p ≥ 1, prove that there are forms f1,...,fm of degree p in I such that f1,...,fr is a regular sequence and I is minimally generated by f1,...,fm.

Reference no: EM131586720

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