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Characterization of separable polynomials over a commutative ring

Characterization of separable polynomials over a commutative ring

Throughout this paper B will mean a commutative ring with an identity element, and all ring extensions of B will be assumed com- mutative with identity element coinciding with the identity element of B.Moreover, X will be an indeterminate, and by B[X] denote the ring of polynomials in X with …