ABSTRACT
The abelian group G is cotorsion-free if https://www.w3.org/1998/Math/MathML"> H o m Z Z ^ p , G = 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003071761/1cf6e0c8-4c76-44ea-bec7-2cccf4e763f3/content/ieq0338.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> for each prime p ∈ Z, where https://www.w3.org/1998/Math/MathML"> Z ^ p https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003071761/1cf6e0c8-4c76-44ea-bec7-2cccf4e763f3/content/ieq0339.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> denotes the (additive group of) the p-adic integers.
