Types in torsion free Abelian groups
Elena Bunina
TL;DR
This paper investigates the logical types and isotypical equivalence of torsion free Abelian groups, classifying their element types and separable groups based on these properties.
Contribution
It provides a complete classification of element types and separable torsion free Abelian groups up to isotypical equivalence.
Findings
All possible types of elements in torsion free Abelian groups are described.
Standard 2-tuples of elements are classified.
Separable torsion free Abelian groups are classified up to isotypicity.
Abstract
In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in these groups and classify separable torsion free Abelian groups up to isotypicity.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · advanced mathematical theories