Artículo
Cibils, C.; Marcos, E.; Redondo, M.J.; Solotar, A. "Cohomology of split algebras and of trivial extensions" (2003) Glasgow Mathematical Journal. 45(1):21-40
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Abstract:
We consider associative algebras λ over a field provided with a direct sum decomposition of a two-sided ideal M and a sub-algebra A - examples are provided by trivial extensions or triangular type matrix algebras. In this relative and split setting we describe a long exact sequence computing the Hochschild cohomology of λ. We study the connecting homomorphism using the cup-product and we infer several results, in particular the first Hochschild cohomology group of a trivial extension never vanishes.
Registro:
| Documento: | Artículo |
| Título: | Cohomology of split algebras and of trivial extensions |
| Autor: | Cibils, C.; Marcos, E.; Redondo, M.J.; Solotar, A. |
| Filiación: | Dépt. de Mathématiques, Université de Montpellier 2, F-34095 Montpellier Cedex 5, France Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66.281, São Paulo - SP 05315-970, Brazil Departamento de Matemática, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahía Blanca, Argentina Departamento de Matemática, Ciudad Universitaria, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Año: | 2003 |
| Volumen: | 45 |
| Número: | 1 |
| Página de inicio: | 21 |
| Página de fin: | 40 |
| DOI: | http://dx.doi.org/10.1017/S0017089502008959 |
| Título revista: | Glasgow Mathematical Journal |
| Título revista abreviado: | Glasgow. Math. J. |
| ISSN: | 00170895 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00170895_v45_n1_p21_Cibils |
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Citas:
---------- APA ----------
Cibils, C., Marcos, E., Redondo, M.J. & Solotar, A. (2003) . Cohomology of split algebras and of trivial extensions. Glasgow Mathematical Journal, 45(1), 21-40.http://dx.doi.org/10.1017/S0017089502008959
---------- CHICAGO ----------
Cibils, C., Marcos, E., Redondo, M.J., Solotar, A. "Cohomology of split algebras and of trivial extensions" . Glasgow Mathematical Journal 45, no. 1 (2003) : 21-40.http://dx.doi.org/10.1017/S0017089502008959
---------- MLA ----------
Cibils, C., Marcos, E., Redondo, M.J., Solotar, A. "Cohomology of split algebras and of trivial extensions" . Glasgow Mathematical Journal, vol. 45, no. 1, 2003, pp. 21-40.http://dx.doi.org/10.1017/S0017089502008959
---------- VANCOUVER ----------
Cibils, C., Marcos, E., Redondo, M.J., Solotar, A. Cohomology of split algebras and of trivial extensions. Glasgow. Math. J. 2003;45(1):21-40.http://dx.doi.org/10.1017/S0017089502008959
