Precomplete clones on infinite sets which are closed under conjugation

Details Precomplete clones on infinite sets which are closed under conjugation Precomplete clones on infinite sets which are closed under conjugation

2004-09-13

arxiv.org/abs/math/0409217v3

Mathematics

Rings and Algebras

13 pages

Scientific paper

We show that on an infinite set, there exist no other precomplete clones closed under conjugation except those which contain all permutations. Since on base sets of some infinite cardinalities, in particular on countably infinite ones, the precomplete clones containing the permutations have been determined, this yields a complete list of the precomplete conjugation-closed clones in those cases. In addition, we show that there exist no precomplete submonoids of the full transformation monoid which are closed under conjugation except those which contain the permutations; the monoids of the latter kind are known.

Affiliated with

Also associated with

No associations

Rating

Precomplete clones on infinite sets which are closed under conjugation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Precomplete clones on infinite sets which are closed under conjugation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Precomplete clones on infinite sets which are closed under conjugation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415671