On extensions of primary almost totally projective abelian groups
Suppose is a subgroup of the reduced abelian -group . The following two dual results are proved: If is countable and is an almost totally projective group, then is an almost totally projective group. If is countable and nice in such that is an almost totally projective group, then is an almost totally projective group. These results somewhat strengthen theorems due to Wallace (J. Algebra, 1971) and Hill (Comment. Math. Univ. Carol., 1995), respectively.