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D'Andrea, C.; Jeronimo, G. "Rational formulas for traces in zero-dimensional algebras" (2008) Applicable Algebra in Engineering, Communications and Computing. 19(6):495-508
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Abstract:

We present a rational expression for the trace of the multiplication map Times r : A → A in a finite-dimensional algebra A := \\mathbb K[x-1,\\ldots,x-n] /\\mathcal {I}} in terms of the generalized Chow form of \\mathcal{I}} . Here, \\mathcal{I} \\subset \\mathbb {K}[x-1,\\ldots,x-n]} is a zero-dimensional ideal, {\\mathbb {K}} is a field of characteristic zero, and r(x 1,..., x n ) a rational function whose denominator is not a zero divisor in A. If {\\mathcal {I}} is a complete intersection in the torus, we get numerator and denominator formulas for traces in terms of sparse resultants. © 2008 Springer-Verlag.

Registro:

Documento: Artículo
Título:Rational formulas for traces in zero-dimensional algebras
Autor:D'Andrea, C.; Jeronimo, G.
Filiación:Departament d'Àlgebra i Geometria, Universitat de Barcelona, Gran Via 585, Barcelona 08007, Spain
Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires 1428, Argentina
Palabras clave:Complete intersection; Finite-dimensional algebras; Rational expressions; Rational function; Zero divisors; Zero-dimensional; Zero-dimensional ideal; Function evaluation; Algebra
Año:2008
Volumen:19
Número:6
Página de inicio:495
Página de fin:508
DOI: http://dx.doi.org/10.1007/s00200-008-0085-x
Título revista:Applicable Algebra in Engineering, Communications and Computing
Título revista abreviado:Appl Algebra Eng Commun Comput
ISSN:09381279
CODEN:AAECE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09381279_v19_n6_p495_DAndrea

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Citas:

---------- APA ----------
D'Andrea, C. & Jeronimo, G. (2008) . Rational formulas for traces in zero-dimensional algebras. Applicable Algebra in Engineering, Communications and Computing, 19(6), 495-508.
http://dx.doi.org/10.1007/s00200-008-0085-x
---------- CHICAGO ----------
D'Andrea, C., Jeronimo, G. "Rational formulas for traces in zero-dimensional algebras" . Applicable Algebra in Engineering, Communications and Computing 19, no. 6 (2008) : 495-508.
http://dx.doi.org/10.1007/s00200-008-0085-x
---------- MLA ----------
D'Andrea, C., Jeronimo, G. "Rational formulas for traces in zero-dimensional algebras" . Applicable Algebra in Engineering, Communications and Computing, vol. 19, no. 6, 2008, pp. 495-508.
http://dx.doi.org/10.1007/s00200-008-0085-x
---------- VANCOUVER ----------
D'Andrea, C., Jeronimo, G. Rational formulas for traces in zero-dimensional algebras. Appl Algebra Eng Commun Comput. 2008;19(6):495-508.
http://dx.doi.org/10.1007/s00200-008-0085-x