Artículo
Guccione, J.A.; Guccione, J.J.; Valqui, C. "Twisted planes" (2010) Communications in Algebra. 38(5):1930-1956
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Abstract:
Let k be a commutative ring. We find and characterize a new family of twisted planes (i.e., associative unitary k-algebra structures on the k-module k[X, Y], having k[X] and k[Y] as subalgebras). Similar results are obtained for the k-module of two variables power series k[[X, Y]]. © Taylor & Francis Group, LLC.
Registro:
| Documento: | Artículo |
| Título: | Twisted planes |
| Autor: | Guccione, J.A.; Guccione, J.J.; Valqui, C. |
| Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, Buenos Aires 1428, Argentina Pontificia Universidad Católica del Perú, Instituto de Matemática y Ciencias Afines, Sección Matemáticas, PUCP, San Miguel, Lima, Peru |
| Palabras clave: | Polynomial rings; Twisting maps |
| Año: | 2010 |
| Volumen: | 38 |
| Número: | 5 |
| Página de inicio: | 1930 |
| Página de fin: | 1956 |
| DOI: | http://dx.doi.org/10.1080/00927870903023105 |
| Título revista: | Communications in Algebra |
| Título revista abreviado: | Commun. Algebra |
| ISSN: | 00927872 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00927872_v38_n5_p1930_Guccione |
Referencias:
- Cap, A., Schichl, H., Vanz̃ura, J., On twisted tensor products of algebras (1995) Communications In Algebra, 23, pp. 4701-4735
- Cartier, P., Produits Tensorieles Tordus (1991) Exposé Au Séminaire Des Groupes Quantiques De'l École Normale Supérieure, , Paris
- Cænepel, S., Ion, B., Militarú, G., Zhu, S., The factorisation problem and smah biproducts of algebras an coalgebras (2000) Algebr. Represent. Theory, 3, pp. 14-42
- Guccione, J.A., Guccione, J.J., Hochschild homology of twisted tensor products (1999) K-Theory, 18 (4), pp. 363-400
- Kassel, C., Quantum Groups (1995) Graduate Texts In Mathematics, 155. , New York: Springer-Verlag
- Majid, S., Algebras and hopf algebras in braided categories (1993) Advances In Hopf Algebras, , Marcel Dekker
- Montgomery, S., Hopf algebras and their actions on rings (1993) CBMS Regional Conference Series In Mathematics, 82. , Providence, Rhode Island: AMS
- 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 Xang Baxter and the pentagon equation (1994) Compositio Math., 91, pp. 201-221
Citas:
---------- APA ----------
Guccione, J.A., Guccione, J.J. & Valqui, C. (2010) . Twisted planes. Communications in Algebra, 38(5), 1930-1956.http://dx.doi.org/10.1080/00927870903023105
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Twisted planes" . Communications in Algebra 38, no. 5 (2010) : 1930-1956.http://dx.doi.org/10.1080/00927870903023105
---------- MLA ----------
Guccione, J.A., Guccione, J.J., Valqui, C. "Twisted planes" . Communications in Algebra, vol. 38, no. 5, 2010, pp. 1930-1956.http://dx.doi.org/10.1080/00927870903023105
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J., Valqui, C. Twisted planes. Commun. Algebra. 2010;38(5):1930-1956.http://dx.doi.org/10.1080/00927870903023105
