The endomorphism ring of an Abelian torsionfree homogeneous separable group

DOI10.1007/BF01229770zbMath0329.20035OpenAlexW1994463243MaRDI QIDQ1227069

Claudia Metelli, Luigi Salce

Publication date: 1975

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229770

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion-free groups, finite rank (20K15)

Related Items (12)

A note on isomorphism of endomorphism algebras of modules over valuation domains ⋮ László Fuchs -- A personal evaluation of his contributions to mathematics ⋮ The endomorphism ring of homogeneously decomposable separable groups ⋮ Abelian group theory in Italy. ⋮ Endomorphism rings of valued vector spaces ⋮ STACKED BASES FOR HOMOGENEOUS COMPLETELY DECOMPOSABLE GROUPS ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Abelian groups ⋮ A category equivalence between homogeneous completely decomposable Abelian groups and modules over principal ideal domains ⋮ A theorem on the endomorphism ring of reduced torsion-free Abelian groups and some applications ⋮ The endomorphism ring of pointed separable torsion-free Abelian groups ⋮ Strongly homogeneous torsion-free Abelian groups

Cites Work

• Unnamed Item
• Torsion-free Abelian groups with isomorphic endomorphism rings
• Abelian groups without elements of finite order

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