THE FULLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS

DOI10.1081/AGB-100001532zbMath0992.20039OpenAlexW2109426599MaRDI QIDQ2749048

Grigore Călugăreanu, Gary F. Birkenmeier, H. Pat Goeters, László Fuchs

Publication date: 21 February 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100001532

zbMATH Keywords

direct sumstorsion groupsAbelian groupstorsion-free groupsdirect summandsmixed groupsfully invariant subgroupsseparable groupsirreducible groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Mixed groups (20K21)

Related Items (15)

Amalgamation rings and the fully invariant extending property ⋮ MODULES WITH FULLY INVARIANT SUBMODULES ESSENTIAL IN FULLY INVARIANT SUMMANDS ⋮ Quasi-s.Baer and related modules ⋮ Unnamed Item ⋮ Generalized triangular matrix rings and the fully invariant extending property. ⋮ Unnamed Item ⋮ The Extending Condition Relative to Sets of Submodules ⋮ On the structure of a quotient field modulo its domain ⋮ MODULES WITH FI-EXTENDING HULLS ⋮ On the inheritance of the strongly π-extending property ⋮ The strongly invariant extending property for abelian groups ⋮ Extending Sets of Idempotents to Ring Extensions ⋮ Modules Whoset-Closed Submodules Have a Summand as a Complement ⋮ FI-extending hulls of abelian groups ⋮ When Some Complement of a Submodule Is a Summand

Cites Work

• Orders as Endomorphism Rings of Modules of the Same Rank
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