Well-ordering of certain numerical polynomials
Abstract: An ordering is introduced in the set of numerical polynomials (in one variable) which is then shown to induce a well-ordering on a certain subset of numerical polynomials, namely those which occur as the differential dimension polynomials of differential algebraic varieties, or equivalently, those which come from initial subsets of .
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Keywords: Differential dimension polynomial, numerical polynomial, well-order, initial subset
Article copyright: © Copyright 1975 American Mathematical Society