Abelian groups with anti-isomorphic endomorphism rings

zbMath0444.20046MaRDI QIDQ1144663

S. H. Smith

Publication date: 1978

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1978__60__55_0

zbMATH Keywords

anti-isomorphic endomorphism ringsE-dual groupsE-self-dual groups

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Torsion groups, primary groups and generalized primary groups (20K10) Torsion-free groups, finite rank (20K15)

Related Items (3)

Corner's theorem on modules with anti-isomorphic endomorphism algebras ⋮ Abelian group theory in Italy. ⋮ Endomorphism rings of modules and lattices of submodules

Cites Work

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• Infinite Abelian groups and homological methods
• Endomorphisms of abelian groups and the theorem of Baer and Kaplansky
• A theorem on the endomorphism ring of reduced torsion-free Abelian groups and some applications
• Anti-isomorphisms of the endo-morphism rings of torsion-free modules
• Charakterisierung der Endmorphismenringe endlicher abelscher Gruppen
• Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings
• On the Automorphism Group of a Reduced Primary Abelian Group
• On a paper of Szele and Szendrei on groups with commutative endomorphism rings

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