Torsion-free duality is Warfield

DOI10.1090/S0002-9939-97-03619-8zbMath0890.20038OpenAlexW1584176716MaRDI QIDQ3127277

Theodore G. Faticoni, H. Pat Goeters, C. I. Vinsonhaler, William J. Wickless

Publication date: 8 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03619-8

zbMATH Keywords

endomorphism ringsDedekind domainsfinite direct sumsWarfield dualityadditive dualitiescategories of torsion-free modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Module categories in associative algebras (16D90) Structure, classification theorems for modules and ideals in commutative rings (13C05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Torsion-free groups, finite rank (20K15)

Related Items (3)

Dualities for locally completely decomposable Abelian groups ⋮ Warfield dualities induced by self-small mixed groups ⋮ Duality and self-reflexive torsion-free Abelian groups

Cites Work

• Dualities for torsion-free abelian groups of finite rank
• Warfield duality and rank-one quasi-summands of tensor products of finite rank locally free modules over Dedekind domains
• Homomorphisms and duality for torsion-free groups
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