# Answer to Question #16819 in Algebra for sanches

Question #16819

Let I be a right ideal in a polynomial ring A = R[x1, . . . , xn], where R is any ring.

Consider next condition: If f • g = 0 for some nonzero g ∈ A, show that f • r = 0 for some nonzero

r ∈ R. Show that it need not hold if R is an arbitrary ring.

Consider next condition: If f • g = 0 for some nonzero g ∈ A, show that f • r = 0 for some nonzero

r ∈ R. Show that it need not hold if R is an arbitrary ring.

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