scientific article; zbMATH DE number 1522514

Publication date: 5 March 2001

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direct sums exchange rings exchange properties

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (2)

Neat rings ⋮ Rings with finite decomposition of identity.

Cites Work

Regularity conditions and the simplicity of prime factor rings
F-semi-perfect modules
Injective modules over Noetherian rings
Classes of modules with the exchange property
A generalization of strongly regular rings
Projective modules over von Neumann regular rings have the finite exchange property
On rings whose projective modules have the exchange property
An example of a ring whose projective modules have the exchange property
Matrix methods in decompositions of modules
On pi-regular rings whose primitive factor rings are Artinian
F-semiperfekte und perfekte Moduln in sigma[M]
Spectral Banach algebras of bounded index
On the von Neumann regularity of rings with regular prime factor rings
On locally direct summands of modules
A ring theoretical proof in a factor category of indecomposable modules
Algebras over zero-dimensional rings
On perfect rings and the exchange property
On the exchange property in a direct sum of indecomposable modules
Algebraically compact rings and modules
On modules whose endomorphism ring is local
Homogenization of regular rings of bounded index
Separative cancellation for projective modules over exchange rings
Rings over which each module possesses a maximal submodule
Maximal submodules and locally perfect rings
The power substitution property for rings of continuous functions
Finitely generated projective modules over exchange rings
Stable range one for exchange rings
Extensions of exchange rings
Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
A survey of regularity conditions and the simplicity of prime factor rings
The exchange property and direct sums of indecomposable injective modules
Cancellation of projective modules over regular rings with comparability
The exchange property of quasi-continuous modules with the finite exchange property
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Refinements for infinite direct decompositions of algebraic systems
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Zu dem Satz von Krull-Remark-Schmidt-Azumaya
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Note on Krull-Remak-Schmidt-Azumaya's theorem
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Sur quelques classes d'anneaux non commutatifs
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Rings all of whose one-sided ideals are generated by idempotents
Strongly 𝜋-regular rings have stable range one
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