Abstract
In this paper, we answer a question of R. Göbel and L. Fuchs by showing that there exits large classes of non-splitting mixed groups which have no non-trivial cellular covers.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Albrecht U., Goeters H.P., Wickless W.: The Flat Dimension of Mixed Abelian Groups Flat as E-Modules. Rocky Mt. J. Math. 25, 569–590 (1995)
Dugas M.: Localizations of torsion-free Abelian groups. J. Algebra 278, 411–420 (2004)
Dugas M.: Co-local subgroups of Abelian groups II. J. Pure Appl. Algebra 208, 117–126 (2007)
Farjoun, E.D.: Cellular spaces, null spaces and homotopy localization, Lecture Notes in Math. 1622, Springer Verlag, Berlin (1996)
Fuchs L., Göbel R.: Cellular covers of Abelian groups. Result. Math. 53, 59–76 (2009)
Glaz S., Wickless W.: Regular and Principal projective Endomorphism Ring of Mixed Abelian Groups. Commun. Algebra 22, 1161–1176 (1994)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Albrecht, U. Cellular Covers of Mixed Abelian Groups. Results. Math. 70, 533–537 (2016). https://doi.org/10.1007/s00025-015-0519-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00025-015-0519-2