What is a cubic ideal/partial cubic ideal?

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Can anyone explain to me as simple as possible what a cubic ideal/partial cubic ideal is? I know what an ideal is in Ringtheory but I couldn't find anything about a cubic ideal or about partial cubic ideals.

Any help appreciated

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The term "partial cubic ideal" does not seem to exist. What I found about cubic ideals, are 1.) Ideal of the twisted cubic 2.) Cubic ideals in polynomial rings $K[x_1,\ldots ,x_n]$ given by homogeneous polynomials of degree $3$.