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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★ 1 cited
Completion of Semirings
Martin Goldstern
A semiring can be ``completed'' (i.e., embedded into a semiring in which all infinite sums are defined and satisfy some reasonable properties) iff this semiring can be naturally pa…
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…