Endomorphism rings of infinitely generated projective modules

DOI10.1016/0021-8693(77)90361-1zbMath0354.16011OpenAlexW2017331622MaRDI QIDQ1236594

B. R. McDonald

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90361-1

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Representation theory of associative rings and algebras (16Gxx)

Related Items

On dense subrings of RFM(R) ⋮ Projectivity and duality in a Morita context ⋮ Isomorphisms of endomorphism rings of projective generators ⋮ On endomorphism rings of free modules. ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Endomorphism rings of torsionless modules ⋮ Endomorphism rings and lattice isomorphisms ⋮ Correspondence theorems for modules and their endomorphism rings ⋮ On the module of homomorphisms into projective modules and multiplication modules ⋮ Automorphisms of subrings of \(\text{RFM}(R)\) ⋮ Modules ⋮ Isomorphisms between infinite matrix rings

Cites Work

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• Projective modules
• Isomorphisms of the endomorphism ring of a free module over a principal left ideal domain
• Liberte des gros modules projectifs
• Density and equivalence
• Properties of projective generators
• The translational hull in semigroups and rings
• Projective and free modules
• Big projective modules are free
• Direct Products of Modules
• The Jacobson Radical of the Endomorphism Ring of a Projective Module
• Endomorphism Rings of Projective Modules
• Simple Modules and Centralizers

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