<i>H</i>-Amalgamation Property in the Class of Torsion Free Abelian Groups

It is proved that the classes of torsion free abelian groups and divisible torsion free abelian groups have unique positive existentially closed model up to isomorphism. we give complete description of h-amalgamation bases in the class of non-trivial torsion free abelian groups.

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Publication Details

Journal
Contemporary Mathematics
Published
2025-06-24
DOI
https://doi.org/10.37256/cm.6320256041
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

H-Amalgamation Property in the Class of Torsion Free Abelian Groups

Mohammed Belkasmi
Contemporary Mathematics
Advanced Topology and Set Theory
article

H-Amalgamation Property in the Class of Torsion Free Abelian Groups

Mohammed Belkasmi
article en

Abstract

It is proved that the classes of torsion free abelian groups and divisible torsion free abelian groups have unique positive existentially closed model up to isomorphism. we give complete description of h-amalgamation bases in the class of non-trivial torsion free abelian groups.

Contemporary Mathematics
Qassim University (SA)
Qassim University
Openalex Percentile: Top 80%
Advanced Topology and Set Theory
DOIOpen Access PDFOpenAlex
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<i>H</i>-Amalgamation Property in the Class of Torsion Free Abelian Groups — Mohammed Belkasmi · Contemporary Mathematics (2025) | TGRS Research Map | TGRS