Near Isomorphism for a Class of Infinite Rank Torsion-Free Abelian Groups

DOI10.1080/00927870601074863zbMath1133.20042OpenAlexW1992608754MaRDI QIDQ3435942

Ekaterina Blagoveshchenskaya, Lutz H. Strüngmann

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601074863

zbMATH Keywords

endomorphism ringstorsion-free Abelian groupstypesetsnear isomorphismsbcd-groupsessential extensions of completely decomposable groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (6)

Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Direct decompositions of torsion-free abelian groups ⋮ Direct decomposition theory under near-isomorphism for a class of infinite rank torsion-free abelian groups ⋮ Near isomorphism for countable-rank torsion-free abelian groups ⋮ Near-isomorphism for bounded completely decomposable groups ⋮ Cyclic regulator quotient groups in the class of almost completely decomposable groups.

Cites Work

• Finite rank torsion free Abelian groups and rings
• Bounded essential extensions of completely decomposable groups
• Dualities between almost completely decomposable groups and their endomorphism rings.
• CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK
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