English

Types in torsion free Abelian groups

Group Theory 2024-09-13 v1

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.

Keywords

Cite

@article{arxiv.2409.07728,
  title  = {Types in torsion free Abelian groups},
  author = {Elena Bunina},
  journal= {arXiv preprint arXiv:2409.07728},
  year   = {2024}
}

Comments

13 pages

R2 v1 2026-06-28T18:41:59.193Z