Abstract
In the past I have been concerned with the possibility of an extension of the primary decomposition of torsion abelian groups to some standing in arbitrary abelian categories satisfying at least the A.B.5 axiom of Grothendieck [7] and having complete subobject- and factor object lattices which are sets. Such a primary decomposition theorem has been proved in such a general setting only under separate hypotheses and conditions.
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