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math.RA2000
Endomorphism rings of modules whose cardinality is cofinal to omega
Rüdiger Göbel, Saharon Shelah
The main result is Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mu^{aleph_0}<lambda<=2^mu. If A is aleph_0-cotorsion-free or A is countably free, respe…
math.RA2000
Indecomposable almost free modules - the local case
Rüdiger Göbel, Saharon Shelah
Let R be a countable, principal ideal domain which is not a field and A be a countable R-algebra which is free as an R-module. Then we will construct an aleph_1-free R-module G of…