Artículo
Guccione, J.A.; Guccione, J.J.; Valqui, C. "Non commutative truncated polynomial extensions" (2012) Journal of Pure and Applied Algebra. 216(11):2315-2337
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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 |
| 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 |
| Año: | 2012 |
| Volumen: | 216 |
| Número: | 11 |
| Página de inicio: | 2315 |
| Página de fin: | 2337 |
| DOI: | http://dx.doi.org/10.1016/j.jpaa.2012.01.021 |
| Título revista: | Journal of Pure and Applied Algebra |
| Título revista abreviado: | J. Pure Appl. Algebra |
| ISSN: | 00224049 |
| CODEN: | JPAAA |
| 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 |
Referencias:
- Breziński, T., Majid, S., Coalgebra bundles (1998) Comm. Math. Phys., 191, pp. 467-492
- Breziński, T., Majid, S., Quantum geometry of algebra factorizations and coalgebra bundles (2000) Comm. Math. Phys., 213, pp. 491-521
- Caenepeel, S., Ion, B., Militaru, G., Zhu, S., The factorisation problem and smash biproducts of algebras and coalgebras (2000) Algebr. Represent. Theory, 3, pp. 14-42
- Cap, A., Schichl, H., Vanzura, J., On twisted tensor products of algebras (1995) Comm. Algebra, 23, pp. 4701-4735
- Cartier, P., (1992), Produits tensoriels tordus, in: Exposé au Séminaire des groupes quantiques de l' École Normale Supérieure, Paris (1991; Cibils, C., Non-commutive duplicates of finite sets (2006) J. Algebra Appl., 5 (3), pp. 361-377
- Gerstenhaber, M., On the deformation of rings and algebras (1964) Ann. of Math., 79 (2), pp. 59-103
- Guccione, J.A., Guccione, J.J., Hochschild Homology of Twisted Tensor Products (1999) K-Theory, 18 (4), pp. 363-400
- Guccione, J.A., Guccione, J.J., Valqui, C., Twisted planes (2010) Commun. Algebra, 38 (5), pp. 1930-1956
- Jara, P., López Peña, J., Navarro, G., Stefan, D., On the classification of twisting maps between kn and km (2009), arXiv:0805.2874v3[math.RA], 24 Sep; Jara Martinez, P., López Peña, J., Panaite, F., Van Oystaeyen, F., On iterated twisted tensor products of algebras (2008) Internat. J. Math., 19 (9), pp. 1053-1101
- Kassel, C., Quantum groups (1995) Graduate Texts in Mathematics, 155. , Springer-Verlag, New Xork
- Majid, S., Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction (1990) J. Algebra, 130, pp. 17-64
- Majid, S., Algebras and Hopf algebras in braided categories (1994) Advances in Hopf Algebras, pp. 55-105. , Marcel Dekker
- Montgomery, S., Hopf algebras and their actions on rings (1993) CBMS Regional Conference Series in Mathematics, 82. , AMS Providence Rhode Island
- Tambara, D., The coendomorphism bialgebra of an algebra (1990) J. Fac Sci. Univ. Tokio Sect. IA Math, 34, pp. 425-456
- Van Daele, A., Van Keer, S., The Yang Baxter and the pentagon equation (1994) Compos. Math., 91, pp. 201-221
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
