Clones from Ideals
نویسندگان
چکیده
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 investigations on the position of such clones in the clone lattice.
منابع مشابه
Ideal Clones: Solution to a Problem of Czédli and Heindorf
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 [CH01], G. Czédli and L. Heindorf asked whether or not for two particular ideals I and J on a countably infinite set X, the corresponding ideal clones were a covering in the lattice of clones. We give an affirmative answer to this ...
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عنوان ژورنال:
- IJAC
دوره 19 شماره
صفحات -
تاریخ انتشار 2009