Artículo
Guccione, J.A.; Guccione, J.J.; Valqui, C. "The Dixmier Conjecture and the shape of possible counterexamples" (2014) Journal of Algebra. 399:581-633
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Abstract:
We establish a lower bound for the size of possible counterexamples of the Dixmier Conjecture. We prove that B>. 15, where B is the minimum of the greatest common divisor of the total degrees of P and Q, where (P, Q) runs over the counterexamples of the Dixmier Conjecture. © 2013 Elsevier Inc.
Registro:
| Documento: | Artículo |
| Título: | The Dixmier Conjecture and the shape of possible counterexamples |
| Autor: | Guccione, J.A.; Guccione, J.J.; Valqui, C. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales-UBA, Pabellón 1 - Ciudad Universitaria, Intendente Guiraldes 2160 (C1428EGA), Buenos Aires, Argentina Instituto de Investigaciones Matemáticas Luis A. Santaló, Facultad de Ciencias Exactas y Naturales-UBA, Pabellón 1 - Ciudad Universitaria, Intendente Guiraldes 2160 (C1428EGA), Buenos Aires, Argentina Instituto Argentino de Matemática-CONICET, Saavedra 15 3er piso (C1083ACA), Buenos Aires, Argentina Pontificia Universidad Católica del Perú, Sección Matemáticas, PUCP, Av. Universitaria 1801, San Miguel, Lima 32, Peru Instituto de Matemática y Ciencias Afines (IMCA), Calle Los Biólogos 245, Urb San César, La Molina, Lima 12, Peru |
| Palabras clave: | Dixmier Conjecture; Weyl algebra |
| Año: | 2014 |
| Volumen: | 399 |
| Página de inicio: | 581 |
| Página de fin: | 633 |
| DOI: | http://dx.doi.org/10.1016/j.jalgebra.2013.10.011 |
| Título revista: | Journal of Algebra |
| Título revista abreviado: | J. Algebra |
| ISSN: | 00218693 |
| CODEN: | JALGA |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00218693_v399_n_p581_Guccione.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v399_n_p581_Guccione |
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Citas:
---------- APA ----------
Guccione, J.A., Guccione, J.J. & Valqui, C. (2014) . The Dixmier Conjecture and the shape of possible counterexamples. Journal of Algebra, 399, 581-633.http://dx.doi.org/10.1016/j.jalgebra.2013.10.011
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "The Dixmier Conjecture and the shape of possible counterexamples" . Journal of Algebra 399 (2014) : 581-633.http://dx.doi.org/10.1016/j.jalgebra.2013.10.011
---------- MLA ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "The Dixmier Conjecture and the shape of possible counterexamples" . Journal of Algebra, vol. 399, 2014, pp. 581-633.http://dx.doi.org/10.1016/j.jalgebra.2013.10.011
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J., Valqui, C. The Dixmier Conjecture and the shape of possible counterexamples. J. Algebra. 2014;399:581-633.http://dx.doi.org/10.1016/j.jalgebra.2013.10.011
