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math.RA2002★ 2 cited
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…
math.RA2002
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…