15 citations · 60 across the 67 of their papers we have counts for
4 papers · 1 filter
Clones from Creatures
Martin Goldstern, Saharon Shelah
A clone on a set X is a set of finitary operations on X which contains all the projections and is closed under composition. The set of all clones forms a complete lattice Cl(X) wit…
Large intervals in the clone lattice
Martin Goldstern, Saharon Shelah
We give three examples of large intervals in the lattice of (local) clones on an infinite set X, by exhibiting clones C_1, C_2, C_3 such that: (1) the interval [C_1, O] in the latt…
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…
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…