Some generalizations of the concept of irreducibility for subhomogeneous mappings

Examines the weakening of the classical concept of irreducibility of map - the concept of irreducibility map at zero. This shows the adequacy of weakened properties for some spectral properties of positively homogeneous of the first degree of the mappings obtained earlier under the assumption of their classical irreducibility. Given classes of mappings for which the classical notion of irreducibility and proposed weakening are the same.