On quasidecomposable finite rank torsion-free Abelian groups
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The author obtains two types of quasidecompositions for a finite rank torsion-free Abelian group \(G\). Using them, he proves pure semisimplicity of the module \(_EG\) in a particular case and obtains a criterion for pure semisimplicity of the module \(_EG\) in the general case.
Torsion-free groups, finite rank, torsion-free Abelian groups, Direct sums, direct products, etc. for abelian groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Simple and semisimple modules, primitive rings and ideals in associative algebras, pure semisimple modules, finite rank groups, quasidecompositions, endomorphism rings
Torsion-free groups, finite rank, torsion-free Abelian groups, Direct sums, direct products, etc. for abelian groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Simple and semisimple modules, primitive rings and ideals in associative algebras, pure semisimple modules, finite rank groups, quasidecompositions, endomorphism rings
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