Cyclic regulator quotient groups in the class of almost completely decomposable groups.

DOI10.1007/s10958-015-2338-0zbMath1321.20046OpenAlexW2092517118MaRDI QIDQ2515191

Ekaterina Blagoveshchenskaya

Publication date: 31 July 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2338-0

zbMATH Keywords

torsion-free finite rank Abelian groupsregulator quotientsalmost completely decomposable Abelian groups

Mathematics Subject Classification ID

Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Torsion-free groups, finite rank (20K15)

Cites Work

• Classification of some Butler groups of infinite rank.
• Almost completely decomposable groups with primary regulator quotients and their endomorphism rings
• Almost completely decomposable groups and rings.
• Determination of a class of countable-rank, torsion-free Abelian groups by their endomorphism rings.
• Finite rank torsion free Abelian groups and rings
• Endomorphism rings of Abelian groups.
• Dualities between almost completely decomposable groups and their endomorphism rings.
• CLASSIFICATION AND DIRECT DECOMPOSITIONS OF SOME BUTLER GROUPS OF COUNTABLE RANK
• Near Isomorphism for a Class of Infinite Rank Torsion-Free Abelian Groups
• Classification and realization theorems for one class of finite-rank torsion-free rings
• The dual structure of almost completely decomposable groups and their endomorphism rings
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