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 we classify separable torsion-free Abelian groups up to isotypicity.
| Original language | English |
|---|---|
| Pages (from-to) | 3524-3535 |
| Number of pages | 12 |
| Journal | Communications in Algebra |
| Volume | 53 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2025 |
Bibliographical note
Publisher Copyright:© 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.
Keywords
- Elementary equivalence
- isotypic equivalence
- torsion-free Abelian groups
- types
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