Annihilator Of Local Cohomology Polynomial Expansion

It is well-known that good properties of a Noetherian ring are preserved under polynomial extension. We will prove that the property of the existence of a uniform annihilator of local cohomology has this property . Explicitly, our main result theorem 3.1.1 states that if .r is a uniform annihilator of local cohomology of a ring R, then (?) is also a uniform annihilator of local cohomology of the polynomial ring R[X₁. X₂. … . X_?](r ≥ 1).