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- W2030507488 abstract "Localizations of objects play an important role in category theory, homology, and elsewhere. A (homo)morphism α :A→B is a localization of A if for each f :A→B there is a unique ϕ :B→B extending f . In this paper we will investigate localizations of (co)torsion-free abelian groups and show that they exist in abundance. We will present several methods for constructing localizations. We will also show that free abelian groups of infinite rank have localizations that are not direct sums of E-rings." @default.
- W2030507488 created "2016-06-24" @default.
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- W2030507488 date "2004-08-01" @default.
- W2030507488 modified "2023-09-29" @default.
- W2030507488 title "Localizations of torsion-free abelian groups" @default.
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- W2030507488 doi "https://doi.org/10.1016/j.jalgebra.2003.12.023" @default.
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