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- W2964272672 abstract "In this paper we show that every cotorsion-free and reduced abelian group of any finite rank (in particular, every free abelian group of finite rank) appears as the kernel of a cellular cover of some cotorsion-free abelian group of rank 2. This situation is the best possible in the sense that cotorsion-free abelian groups of rank 1 do not admit cellular covers with free kernel except for the trivial ones. This work is motivated by an example due to Buckner–Dugas, and recent results obtained by Fuchs–Göbel, and Göbel–Rodríguez–Strüngmann." @default.
- W2964272672 created "2019-07-30" @default.
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- W2964272672 date "2010-11-25" @default.
- W2964272672 modified "2023-10-15" @default.
- W2964272672 title "On Cellular Covers with Free Kernels" @default.
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- W2964272672 doi "https://doi.org/10.1007/s00009-010-0109-1" @default.
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