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The Finiteness of I When R[ X ]/I is Flat

The Finiteness of I When R[ X ]/I is Flat

Let R be a commutative ring with identity, let X be an indeterminate, and let I be an ideal of the polynomial ring R[X].Let min I denote the set of elements of I of minimal degree and assume henceforth that min I contains a regular element.Then R[X]/I is a flat …