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Título
Universal central extensions of precrossed modules and Milnor's relative K2
Autor
Facultad/Centro
Área de conocimiento
Título de la revista
Journal of Pure and Applied Algebra
Número de la revista
2-3
Cita Bibliográfica
Arias, D., Ladra, M. and R.-Grandjeán, A. (2003). Universal central extensions of precrossed modules and Milnor's relative K2, Journal of Pure and Applied Algebra, 184(2-3), 139-154. https://doi.org/10.1016/S0022-4049(03)00065-3
Editorial
Elsevier
Fecha
2003
ISSN
0022-4049
Resumen
[EN] We characterize the universal central extension of a perfect precrossed module giving two descriptions, one in terms of non-abelian tensor products of groups and other in terms of projective presentations. As application to relative algebraic K-theory, we obtain that Milnor's absolute and relative K2 groups are the kernel of the universal central extension of the precrossed module determined by the groups of the elementary matrices of a ring and relative to an ideal, respectively.
Materia
Palabras clave
Peer review
SI
ID proyecto
- BFM2000-0523
- PGIDT01PXI20702PR
URI
DOI
Versión del editor
Aparece en las colecciones
- Artículos [5460]
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