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
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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
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Año: | 2013
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Volumen: | 141
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Número: | 6
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Página de inicio: | 1939
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Página de fin: | 1946
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DOI: |
http://dx.doi.org/10.1090/S0002-9939-2013-11470-X |
Título revista: | Proceedings of the American Mathematical Society
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Título revista abreviado: | Proc. Am. Math. Soc.
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ISSN: | 00029939
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v141_n6_p1939_Cibils |
Referencias:
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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