Invariants for Abelian groups and dual exact sequences.

DOI10.1016/j.jalgebra.2009.03.043zbMath1200.20036OpenAlexW2021072244MaRDI QIDQ1048960

Alexander A. Fomin

Publication date: 8 January 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.043

zbMATH Keywords

dualitiestorsion-free Abelian groupsequivalencesquotient divisible groupsfinite rank groupsKurosh invariantsMalcev invariantsuniversal numbers

Mathematics Subject Classification ID

Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15) Mixed groups (20K21)

Related Items

Torsion-free abelian groups of finite rank with marked bases, Rings on abelian torsion-free groups of finite rank, On a theorem of Stelzer for some classes of mixed groups, Dualities for self–small groups, Homological properties of quotient divisible abelian groups and compact groups dual to them, To the 65th birthday of Professor Alexander Alexandrovich Fomin, On the quotient divisible group theory. II, Duality of the categories of torsion-free Abelian groups of finite rank and quotient divisible Abelian groups., A matrix description for torsion free abelian groups of finite rank, Unnamed Item, Warfield's duality and Malcev's matrix., On quotient divisible group theory. I., Quotient divisible groups of rank 2

Cites Work

• Abelian groups with one \(\tau\)-adic relation
• Abelian groups with free subgroups of infinite index and their endomorphism groups
• Torsion-free rings
• Dualities for torsion-free abelian groups of finite rank
• The classification of certain classes of torsion free Abelian groups
• A duality for quotient divisible Abelia n groups of finite rank
• Primitive torsionsfreie Abelsche Gruppen vom endlichen Range
• TORSION-FREE ABELIAN GROUPS OF RANK 3
• Invariants for a Class of Torsion-Free Abelian Groups
• Quotient divisible abelian groups
• Torsion free groups of rank two
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