Artículo

Cibils, C.; Redondo, M.J.; Solotar, A. "Full and convex linear subcategories are incompressible" (2013) Proceedings of the American Mathematical Society. 141(6):1939-1946
Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

Consider the intrinsic fundamental group à la Grothendieck of a linear category, introduced in our earlier papers using connected gradings. In this article we prove that any full convex subcategory is incompressible, in the sense that the group map between the corresponding fundamental groups is injective. We start by proving the functoriality of the intrinsic fundamental group with respect to full subcategories, based on the study of the restriction of connected gradings. © 2013 American Mathematical Society.

Registro:

Documento: Artículo
Título:Full and convex linear subcategories are incompressible
Autor:Cibils, C.; Redondo, M.J.; Solotar, A.
Filiación:Institut de mathématiques et de modélisation de Montpellier I3M, UMR 5149, Université Montpellier 2, F-34095 Montpellier cedex 5, France
Departamento de Matemática, Universidad Nacional del Sur, Av. Alem 1253, 8000 Bah ía Blanca, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Instituto de Matemática Luis Santaló, IMAS-CONICET, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina
Año:2013
Volumen:141
Número:6
Página de inicio:1939
Página de fin:1946
DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11470-X
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v141_n6_p1939_Cibils

Referencias:

  • Assem, I., de la Peña, J.A., The fundamental groups of a triangular algebra (1996) Comm. Algebra, 24, pp. 187-208. , MR1370530 (97a:16029)
  • Bongartz, K., Gabriel, P., Covering spaces in representation-theory (1981) Invent. Math, 65, pp. 331-378. , MR643558 (84i:16030)
  • Bustamante, J.C., Castonguay, D., Fundamental groups and presentations of algebras (2006) J. Algebra Appl, 5, pp. 549-562. , MR2269406 (2007i:16027)
  • Cibils, C., Marcos, E., Skew category, Galois covering and smash product of a category over a ring (2006) Proc. Amer. Math. Soc, 134 (1), pp. 39-50. , MR2170541 (2006e:18003)
  • Cibils, C., Redondo, M.J., Solotar, A., The intrinsic fundamental group of a linear category (2012) Algebr. Represent. Theory, 15 (4), pp. 735-753. , MR2944440
  • Cibils, C., Redondo, M.J., Solotar, A., Connected gradings and the fundamental group (2010) Algebra Number Theory, 4 (5), pp. 625-648. , MR2679101
  • Cibils, C., Solotar, A., Galois coverings, Morita equivalence and smash extensions of categories over a field (2006) Documenta Math, 11, pp. 143-159. , MR2226272 (2007f:18013)
  • Gabriel, P., The universal cover of a representation-finite algebra. Representations of algebras (1980) Lecture Notes In Math, pp. 68-105. , Puebla, Springer, Berlin-New York, 1981, MR654725 (83f:16036)
  • Le Meur, P., The universal cover of an algebra without double bypass (2007) J. Algebra, 312 (1), pp. 330-353. , MR2320460 (2008c:16026)
  • Le Meur, P., (2006) Revêtements Galoisiens Et Groupe Fondamental D'algèbres De Dimension Finie, 2. , http://tel.archives-ouvertes.fr/tel-00011753, Ph.D. thesis, Université Montpellier
  • 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. , MR724038 (85f:16035)

Citas:

---------- APA ----------
Cibils, C., Redondo, M.J. & Solotar, A. (2013) . Full and convex linear subcategories are incompressible. Proceedings of the American Mathematical Society, 141(6), 1939-1946.
http://dx.doi.org/10.1090/S0002-9939-2013-11470-X
---------- CHICAGO ----------
Cibils, C., Redondo, M.J., Solotar, A. "Full and convex linear subcategories are incompressible" . Proceedings of the American Mathematical Society 141, no. 6 (2013) : 1939-1946.
http://dx.doi.org/10.1090/S0002-9939-2013-11470-X
---------- MLA ----------
Cibils, C., Redondo, M.J., Solotar, A. "Full and convex linear subcategories are incompressible" . Proceedings of the American Mathematical Society, vol. 141, no. 6, 2013, pp. 1939-1946.
http://dx.doi.org/10.1090/S0002-9939-2013-11470-X
---------- VANCOUVER ----------
Cibils, C., Redondo, M.J., Solotar, A. Full and convex linear subcategories are incompressible. Proc. Am. Math. Soc. 2013;141(6):1939-1946.
http://dx.doi.org/10.1090/S0002-9939-2013-11470-X