Cone-transitive matrix semigroups
Leo Livshits, Gordon Macdonald, Heydar Radjavi · Linear and Multilinear Algebra · 2000
Semigroups of matrices (over an ordered field) with non-negative entries are considered. A complete characterization is obtained for the semigroups which are minimal transitive on the positive (or non-negative) cone of the underlying vector space. Consequently, an explicit form for the semigroups sharply transitive on the cone is derived.