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- W2056518339 abstract "It is a well-known homological fact that every Abelian group G has the property that Hom(G,−) commutes with direct products. Here we investigate the ‘dual’ property: an Abelian group G is said to be cosmall if Hom(−,G) commutes with direct products. We show that cosmall groups are cotorsion-free and that no group of cardinality less than a strongly compact cardinal can be cosmall. In particular, if there is a proper class of strongly compact cardinals, then there are no cosmall groups." @default.
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- W2056518339 date "2007-11-01" @default.
- W2056518339 modified "2023-09-25" @default.
- W2056518339 title "On cosmall Abelian groups" @default.
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- W2056518339 doi "https://doi.org/10.1016/j.jalgebra.2007.05.009" @default.
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