Let L/K be a finite Galois extension of local fields which are finite extensions of ℚp , the field of p-adic numbers. Let Gal(L/K) = G, and 𝔒L and ℤp be the rings of integers in L and ℚp , respectively. And let 𝔓L denote the maximal ideal of 𝔒L . We determine, explicitly in terms of specific indecomposable ℤp [G]-modules, the ℤp [G]-module structure of 𝔒L and 𝔓L , for L, a composite of two arithmetically disjoint, ramified cyclic extensions of K, one of which is only weakly ramified in the sense of Erez [6].
