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math.RA2005
The minimal clones above the permutations
Hajime Machida, Michael Pinsker
We determine the atoms of the interval of the clone lattice consisting of those clones which contain all permutations, on an infinite base set. This is equivalent to the descriptio…
math.RA2005
Monoidal intervals of clones on infinite sets
Michael Pinsker
We show that for an infinite set X, if L is a completely distributive algebraic lattice with not more completely join irreducible elements than the size of the power set of X, then…