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Abstract:

Let k be a commutative ring. We study the behavior of coverings of k-categories through fiber products and find a criterion for a covering to be Galois or universal. © 2012 World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Galois and universal coverings of linear categories and fiber products
Autor:Cibils, C.; Redondo, M.J.; Solotar, A.
Filiación:Institut de Mathématiques et de, Modélisation de Montpellier I3M, Université Montpellier 2, F-34095 Montpellier Cedex 5, France
Departamento de Matemática, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bahía Blanca, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón 1, 1428, Buenos Aires, Argentina
Palabras clave:Fiber product; Galois covering; section; universal covering
Año:2012
Volumen:11
Número:2
DOI: http://dx.doi.org/10.1142/S0219498811005488
Título revista:Journal of Algebra and its Applications
Título revista abreviado:J. Algebra Appl.
ISSN:02194988
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02194988_v11_n2_p_Cibils

Referencias:

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  • Assem, I., Skowrónski, A., On some classes of simply connected algebras (1988) Proc. London Math. Soc., 56, pp. 417-450
  • Bongartz, K., Gabriel, P., Covering spaces in representation-theory (1981) Invent. Math., 65, pp. 331-378
  • Bustamante, J.C., Castonguay, D., Fundamental groups and presentations of algebras (2006) J. Algebra Appl., 5, pp. 549-562
  • Cibils, C., Marcos, E.N., Skew category, galois covering and smash product of a k-category (2006) Proceedings of the American Mathematical Society, 134 (1), pp. 39-50. , DOI 10.1090/S0002-9939-05-07955-4, PII S0002993905079554
  • Cibils, C., Redondo, M.J., Solotar, A., Connected gradings and fundamental group (2010) Algebra Number Theory, 4 (5), pp. 625-648
  • Cibils, C., Redondo, M.J., Solotar, A., The Intrinsic Fundamental Group of A Linear Category, , to appear in Algebr. Represent. Theory
  • Gabriel, P., The universal cover of a representation-finite algebra, Representations of Algebras (1981) Lecture Notes in Mathematics, 903, pp. 68-105. , Springer, Berlin
  • Le Meur, P., (2006) Rev̂etements Galoisiens et Groupe Fondamental d'Alǵebres de Dimension Finie, 2. , http://tel.archives-ouvertes.fr/tel-00011753, Ph.D. thesis Universit́e Montpellier
  • Le Meur, P., The universal cover of an algebra without double bypass (2007) J. Algebra, 312 (1), pp. 330-353
  • Martínez-Villa, R., De La Peña, J.A., The universal cover of a quiver with relations (1983) J. Pure Appl. Algebra, 30, pp. 277-292

Citas:

---------- APA ----------
Cibils, C., Redondo, M.J. & Solotar, A. (2012) . Galois and universal coverings of linear categories and fiber products. Journal of Algebra and its Applications, 11(2).
http://dx.doi.org/10.1142/S0219498811005488
---------- CHICAGO ----------
Cibils, C., Redondo, M.J., Solotar, A. "Galois and universal coverings of linear categories and fiber products" . Journal of Algebra and its Applications 11, no. 2 (2012).
http://dx.doi.org/10.1142/S0219498811005488
---------- MLA ----------
Cibils, C., Redondo, M.J., Solotar, A. "Galois and universal coverings of linear categories and fiber products" . Journal of Algebra and its Applications, vol. 11, no. 2, 2012.
http://dx.doi.org/10.1142/S0219498811005488
---------- VANCOUVER ----------
Cibils, C., Redondo, M.J., Solotar, A. Galois and universal coverings of linear categories and fiber products. J. Algebra Appl. 2012;11(2).
http://dx.doi.org/10.1142/S0219498811005488