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math.LO2005
On Crawley Modules
Rüdiger Göbel, Saharon Shelah
This continues recent work in a paper by Corner, Gobel and Goldsmith. A particular question was left open: Is it possible to carry over the results concerning the undecidability of…
math.LO2004
Generalized E-Rings
Rüdiger Göbel, Saharon Shelah, Lutz Strüngmann
A ring R is called an E-ring if the canonical homomorphism from R to the endomorphism ring End(R_Z) of the additive group R_Z, taking any r in R to the endomorphism left multiplica…
math.LO2004
Uniquely Transitive Torsion-free Abelian Groups
Rüdiger Göbel, Saharon Shelah
We will answer a question raised by Emmanuel Dror Farjoun concerning the existence of torsion-free abelian groups G such that for any ordered pair of pure elements there is a uniqu…