Types in torsion free Abelian groups

Elena Bunina

doi:10.1080/00927872.2025.2462277

Types in torsion free Abelian groups

Elena Bunina

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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
Journal	Communications in Algebra
DOIs	https://doi.org/10.1080/00927872.2025.2462277
State	Accepted/In press - 2025

Keywords

Elementary equivalence
isotypic equivalence
torsion-free Abelian groups
types

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1080/00927872.2025.2462277

Cite this

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title = "Types in torsion free Abelian groups",

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.",

keywords = "Elementary equivalence, isotypic equivalence, torsion-free Abelian groups, types",

author = "Elena Bunina",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.",

year = "2025",

doi = "10.1080/00927872.2025.2462277",

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journal = "Communications in Algebra",

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T1 - Types in torsion free Abelian groups

AU - Bunina, Elena

PY - 2025

Y1 - 2025

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AB - 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.

KW - Elementary equivalence

KW - isotypic equivalence

KW - torsion-free Abelian groups

KW - types

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U2 - 10.1080/00927872.2025.2462277

DO - 10.1080/00927872.2025.2462277

M3 - مقالة

SN - 0092-7872

JO - Communications in Algebra

JF - Communications in Algebra

ER -

Types in torsion free Abelian groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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