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On separable polynomials over a commutative ring

On separable polynomials over a commutative ring

Separable polynomials over an arbitrary commutative ring are studied.Given any separable polynomial p(X) over the commutative ring R one can find a "splitting ring" for p(X) which is a finitely generated normal separable extension of R generated by roots of p{X)A polynomial closure A of R generated by roots of …