Vertical Subgroups of Primary Abelian Groups
Vertical Subgroups of Primary Abelian Groups
Abstract Motived by an intrinisic necessary condition for the purifiability of subgroups of primary abelian groups due to K. Benabdallah and T. Okuyama we introduce new functors on the category of pairs (G, A), where A is a subgroup of G, to the category of Z /pZ -vector spaces. The …