On extensibility of some homomorphisms
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xmlui.dri2xhtml.METS-1.0.item-citation: Rocznik Naukowo-Dydaktyczny. 1999, Z. 207, Prace Matematyczne 16, s. 35-43
xmlui.dri2xhtml.METS-1.0.item-iso: en
Date: 1999
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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].