On transitive linear semigroups
Drnovsek, R.Livshits, L.MacDonald, Gordon W.Mathes, B.Radjavi, H.Semrl, P.
Linear Algebra and its Applications
Mathematical and Computational Sciences
This paper deals with semigroups of linear transformations which act transitively on a finite-dimensional vector space. An explicit canonical form is obtained for the semigroups which lack proper transitive left ideals. The class of such semigroups can be considered to be an extention of the class of transitive groups. It contains all minimal transitive (and hence all sharply transitive) semigroups. (C) 2000 Elsevier Science Inc. All rights reserved.