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Abstract:
In this paper we give an elementary approach to univariate polynomial
subresultants theory. Most of the known results of subresultants are recovered,
some with more precision, without using Euclidean divisions or existence of
roots for univariate polynomials. The main contributions of this paper are not
new results on subresultants, but rather extensions of the main results over
integral rings to arbitrary commutative rings.
