Modules Over the Endomorphism Ring of a Finitely Generated Projective Module

DOI10.2307/2038506zbMath0233.16021OpenAlexW4242350356MaRDI QIDQ5641282

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Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038506

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (18)

Generators versus projective generators in abelian categories ⋮ Classifications of exact structures and Cohen-Macaulay-finite algebras ⋮ Homological dimensions for co-rank one idempotent subalgebras ⋮ The quotient category of a Morita context ⋮ Dominant modules and finite localizations ⋮ On semi-projective modules and their endomorphism rings ⋮ Modules over endomorphism rings. II ⋮ On the structure and cohomology ring of connected Hopf algebras ⋮ Aufsteigende Kettenbedingung für Zyklische Moduln und Perfekte Endomorphismenringe ⋮ Morita equivalent quotient rings ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Finiteness Conditions for Projective and Injective Modules ⋮ On endomorphism rings of quasiprojective modules ⋮ Pure submodules of direct products of free modules ⋮ Self-injective and PF endomorphism rings ⋮ Endomorphism rings and lattice isomorphisms ⋮ Duality between colocalization and localization ⋮ Homological behavior of idempotent subalgebras and Ext algebras

Cites Work

• Noncommutative localizations and applications
• The Structure of Prime Rings Under Ascending Chain Conditions
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
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