5 citations · 9 across the 11 of their papers we have counts for
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math.RA2008
Ideal clones: Solution to a problem of Czedli and Heindorf
Martin Goldstern, Michael Pinsker
Given an infinite set X and an ideal I of subsets of X, the set of all finitary operations on X which map all (powers of) I-small sets to I-small sets is a clone. In a 2001 article…
math.RA2008
Clones from ideals
Mathias Beiglböck, Martin Goldstern, Lutz Heindorf +1
On an infinite base set X, every ideal of subsets of X can be associated with the clone of those operations on X which map small sets to small sets. We continue earlier investigati…
math.RA2008★ 5 cited
Sublattices of the lattice of local clones
Michael Pinsker
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at m…