Describing Punctual Structures

<p><strong>We uncover connections between punctual abelian group structures and a primitive recursive analogue of limitwise monotonicity. We construct an unbounded torsion abelian group such that all its primitive recursive copies have a primitive recursive inverse function. This was somewhat unexpected as it cannot be done in the case of unbounded abelian p-groups. Latter we provide a method for effectively listing all f.p.r.-isomorphic copies of any algebraic structure exactly once. In this section we also prove several small results concerning the relationship between weakly f.p.r.- categorical structures and f.p.r.-categorical structures.</strong></p>