A Note on Additive Groups of Some Specific Torsion-Free Rings of Rank Three and Mixed Associative Rings

It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with the finite type set containing the greatest elem...

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Bibliographic Details
Main Authors: Najafizadeh Alireza, Woronowicz Mateusz
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1274