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

Authors

Mohammed Belkasmi Department of Mathematics, College of Sciences, Qassim University, Saudi Arabia https://orcid.org/0000-0002-0960-5079

DOI:

https://doi.org/10.37256/cm.6320256041

Keywords:

Positive logic, h-inductive theory, Amalgamation, Existentially closed

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.

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Published

2025-06-24

Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.