Anti-isomorphisms of endomorphism rings of locally free modules

DOI10.1007/BF01215251zbMath0655.16016MaRDI QIDQ1109114

Kenneth G. Wolfson

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174082

zbMATH Keywords

endomorphism ringtorsion-free modulesanti-isomorphismslocally freefree summand

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Representation theory of associative rings and algebras (16Gxx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (11)

The Skolem-Noether theorem for modules over principal rings ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones. ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Isomorphisms Between Endomorphism Rings of Modules ⋮ A Baer-Kaplansky theorem for modules over principal ideal domains ⋮ Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules close to free ones. ⋮ Modules over discrete valuation domains. II ⋮ Antiisomorphisms of endomorphism rings of modules close to free ones which are induced by Morita antiequivalences ⋮ Subrings of RFM(R) and equivalences

Cites Work

• Locally free modules and a problem of Whitehead
• Anti-isomorphisms of the endomorphism rings of a class of free modules
• Free ideal rings
• Anti-isomorphisms of the endo-morphism rings of torsion-free modules
• Isomorphisms of the Endomorphism Rings of a Class of Torsion-Free Modules
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