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Abstract:

The main purpose of this paper is to provide explicit computations of the fundamental groups of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G and we study the relation between gradings and Galois coverings. This theoretical tool gives information about the fundamental group of A, which allows its computation using complete lists of gradings. © 2010 by Mathematical Sciences Publishers.

Registro:

Documento: Artículo
Título:Connected gradings and the fundamental group
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, Avenida Leandro N. Alem 1253, B8000CPB Bahía Blanca, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón 1, C1428EGA Buenos Aires, Argentina
Palabras clave:Fundamental group; Galois covering; Grading
Año:2010
Volumen:4
Número:5
Página de inicio:625
Página de fin:648
DOI: http://dx.doi.org/10.2140/ant.2010.4.625
Título revista:Algebra and Number Theory
Título revista abreviado:Algebra Number Theory
ISSN:19370652
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_19370652_v4_n5_p625_Cibils.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_19370652_v4_n5_p625_Cibils

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Citas:

---------- APA ----------
Cibils, C., Redondo, M.J. & Solotar, A. (2010) . Connected gradings and the fundamental group. Algebra and Number Theory, 4(5), 625-648.
http://dx.doi.org/10.2140/ant.2010.4.625
---------- CHICAGO ----------
Cibils, C., Redondo, M.J., Solotar, A. "Connected gradings and the fundamental group" . Algebra and Number Theory 4, no. 5 (2010) : 625-648.
http://dx.doi.org/10.2140/ant.2010.4.625
---------- MLA ----------
Cibils, C., Redondo, M.J., Solotar, A. "Connected gradings and the fundamental group" . Algebra and Number Theory, vol. 4, no. 5, 2010, pp. 625-648.
http://dx.doi.org/10.2140/ant.2010.4.625
---------- VANCOUVER ----------
Cibils, C., Redondo, M.J., Solotar, A. Connected gradings and the fundamental group. Algebra Number Theory. 2010;4(5):625-648.
http://dx.doi.org/10.2140/ant.2010.4.625