Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups
Copyright policy )Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups
Abstract Near-isomorphism is known as the right concept for classification theorems in the theory of almost completely decomposable groups. As a natural generalization the authors extended in [6] the notion of near-isomorphism to Abelian groups of arbitrary rank. In this article we investigate non-isomorphic direct decompositions of a class of infinite rank torsion-free abelian groups which were defined in [4] as special epimorphic images of so-called almost rigid groups. A complete classification of such decompositions up to near-isomorphism is given.
- Mannheim University of Applied Sciences Germany
- Peter the Great St. Petersburg Polytechnic University Russian Federation
- Petersburg State Transport University Russian Federation
Direct sums, direct products, etc. for abelian groups, non-isomorphic direct decompositions, near-isomorphism, Torsion-free groups, infinite rank, almost rigid groups
Direct sums, direct products, etc. for abelian groups, non-isomorphic direct decompositions, near-isomorphism, Torsion-free groups, infinite rank, almost rigid groups
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