Abstract:
We introduce the notion of non commutative truncated polynomial extension of an algebra . A. We study two families of these extensions. For the first one we obtain a complete classification and for the second one, which we call upper triangular, we find that the obstructions to inductively construct them, lie in the Hochschild homology of . A, with coefficients in a suitable . A-bimodule. © 2012 Elsevier B.V.
Registro:
Documento: |
Artículo
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Título: | Non commutative truncated polynomial extensions |
Autor: | Guccione, J.A.; Guccione, J.J.; Valqui, C. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales-UBA, Pabellón1, Ciudad Universitaria Intendente Guiraldes, 2160 (C1428EGA), Buenos Aires, Argentina Instituto de Investigaciones Matematicas Luis A. Santalo, Facultad de Ciencias Exactas y Naturales-UBA, Pabellón1, Ciudad Universitaria Intendente Guiraldes, 2160 (C1428EGA), Buenos Aires, Argentina Instituto Argentino de Matematica-CONICET, Savedra 15 3er piso, (C1083ACA) Buenos Aires, Argentina Pontificia Universidad Católica del Perú, Instituto de Matemática y Ciencias Afines, 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
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Año: | 2012
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Volumen: | 216
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Número: | 11
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Página de inicio: | 2315
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Página de fin: | 2337
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DOI: |
http://dx.doi.org/10.1016/j.jpaa.2012.01.021 |
Título revista: | Journal of Pure and Applied Algebra
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Título revista abreviado: | J. Pure Appl. Algebra
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ISSN: | 00224049
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CODEN: | JPAAA
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PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00224049_v216_n11_p2315_Guccione.pdf |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224049_v216_n11_p2315_Guccione |
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Citas:
---------- APA ----------
Guccione, J.A., Guccione, J.J. & Valqui, C.
(2012)
. Non commutative truncated polynomial extensions. Journal of Pure and Applied Algebra, 216(11), 2315-2337.
http://dx.doi.org/10.1016/j.jpaa.2012.01.021---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J., Valqui, C.
"Non commutative truncated polynomial extensions"
. Journal of Pure and Applied Algebra 216, no. 11
(2012) : 2315-2337.
http://dx.doi.org/10.1016/j.jpaa.2012.01.021---------- MLA ----------
Guccione, J.A., Guccione, J.J., Valqui, C.
"Non commutative truncated polynomial extensions"
. Journal of Pure and Applied Algebra, vol. 216, no. 11, 2012, pp. 2315-2337.
http://dx.doi.org/10.1016/j.jpaa.2012.01.021---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J., Valqui, C. Non commutative truncated polynomial extensions. J. Pure Appl. Algebra. 2012;216(11):2315-2337.
http://dx.doi.org/10.1016/j.jpaa.2012.01.021