Subgroups of Endomorphisms of an Independence Algebra with Finite Rank 1
Jingguo Liu, Xiangzhi Kong · 2011
The aim of this paper is to generalize the results of A. Ehrenfeucht et al concerning subgroups of the full transformation monoid on a non-empty finite set. In this paper we prove that two permutable transitive subgroups of the endomorphism monoid of an independence algebra with finite rank are simply transitive subgroups of automorphisms and centralizers of each other. Mathematics Subject Classification: 20M20