On extensibility of some homomorphisms

Abstract

The paper deals with a system of functional equations connected with the determination of some class of homomorphisms of uniquely divisible abelian semigroup (G,+) into the group L[1][s] or L[1][∞]. We give a necessary form of such homomorphisms into L[1][∞]. Moreover, we give a necessary condition for extensibility of homomorphisms into L[1][s] to homomorphisms into L[1][s+1].