Isotype Separable Subgroups of Totally Projective Groups

ON ALMOST ω1-pω+n-PROJECTIVE ABELIAN p-GROUPS

“…The last two statements can be generally superseded via the following: Theorem 1.5. ( [9] and [2]) Let G be an almost totally projective group and G ≤ T where T is reduced. Then T is almost totally projective, provided T /G is countable.…”

On almost ω1-weak p ω·2+n -projective abelian p-groups

“…In accordance with [3], there is some ≤ [ ] such that / = + where is countable and is almost Σ-cyclic. Since by [9] or [2] the sum + is almost simply presented, we use [10] to deduce that ( + )/ ( + ) is almost Σ-cyclic. Furthermore,…”

On almost ω1-n-simply presented Abelian p-groups

“…Furthermore, G/P = (T /P ) + (K + P )/P , where (K + P )/P ∼ = K/(K ∩ P ) is countable. Thus Theorem 1 of [1] (see [8] too) can be employed to show that G/P is almost simply presented, as required.…”

“…implies with the help of [1] (see [8] or [9] as well) that G/A[p n ] is almost simply presented, as required.…”