All Title Author
Keywords Abstract

Mathematics  2015 

Idempotent rank in the endomorphism monoid of a non-uniform partition

Full-Text   Cite this paper   Add to My Lib


We calculate the rank and idempotent rank of the semigroup $E(X,P)$ generated by the idempotents of the semigroup $T(X,P)$, which consists of all transformations of the finite set $X$ preserving a non-uniform partition $P$. We also classify and enumerate the idempotent generating sets of this minimal possible size. This extends results of the first two authors in the uniform case.


comments powered by Disqus

Contact Us


微信:OALib Journal