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The lattice of closed ideals and<i>a</i><sup>โ</sup>-extensions of an abelian<i>l</i>-group
An Z-ideal A of an Z-group G is closed if x e A whenever x -V a iy 0 < di e A. The intersection of any collection of closed Z-ideals of G is again a closed Z-ideal of G. Hence the set J3f(G) of all closed Z-ideals of G โฆ