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Discriminants of polynomial algebras over the symmetric polynomials

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Abstract Let K be a commutative algebra over a field and the polynomial algebra over K. It is proved that the discriminant of A over the symmetric polynomials is the… Click to show full abstract

Abstract Let K be a commutative algebra over a field and the polynomial algebra over K. It is proved that the discriminant of A over the symmetric polynomials is the Vandermonde determinant on to the power This gives an affirmative answer to a question posed by Gaddis, Kirkman and Moore. Communicated by Ellen Kirkman

Keywords: symmetric polynomials; polynomial algebras; discriminants polynomial; algebras symmetric

Journal Title: Communications in Algebra
Year Published: 2020

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