Finite rank torsion free Abelian groups and rings
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Publication:1168433
DOI10.1007/BFb0094245zbMath0493.20034OpenAlexW1501560805MaRDI QIDQ1168433
Publication date: 1982
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0094245
endomorphism ringsfinitely generated projective modulescancellationGrothendieck groupcompletely decomposable groupspure subgroupsstable rangefinite direct sumsquasi-decompositionsnear-isomorphismMurley groupsexchange propertiesinner typeouter typefinite dimensional Q-algebraquasi- endomorphism ringRichmann typesubstitution propertytorsion free abelian groups of finite ranktypeset
Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Abelian groups (20K99) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
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