A Kummer theory of division points over rank one Drinfeld A =F-q[T]- Module
s defined over global function fields was given. The results are in complet
e analogy with the classical Kummer theory of division points over the mult
iplicative algebraic group G(m) defined over number fields. (C) 2001 EIsevi
er Science B.V. All rights reserved. MSC: 11G09.