Modules with Semi-Local Endomorphism Ring

DOI10.2307/2161881zbMath0843.16017OpenAlexW4252696384MaRDI QIDQ4874249

Ahmad Shamsuddin, Herbera, Dolors

Publication date: 29 May 1996

Full work available at URL: https://doi.org/10.2307/2161881

zbMATH Keywords

linearly compact modulessemilocal ringssemilocal endomorphism ringsquasi-projective modulesdual Goldie dimension of modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Noncommutative local and semilocal rings, perfect rings (16L30) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items

Unnamed Item ⋮ Local morphisms and modules with a semilocal endomorphism ring. ⋮ Generalized Fitting modules and rings. ⋮ On the small Krull dimension of modules ⋮ AB-5* and linear compactness ⋮ On objects with a semilocal endomorphism rings in finitely accessible additive categories ⋮ Weakly perspective rings and modules ⋮ Unnamed Item ⋮ \(K_0\) of a semilocal ring ⋮ AB5*-modules with the exchange property ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ GOLDIE DIMENSION, DUAL KRULL DIMENSION AND SUBDIRECT IRREDUCIBILITY ⋮ Krull-Schmidt fails for serial modules ⋮ On semilocal rings ⋮ Krull-Schmidt Fails for Artinian Modules ⋮ PURE CLOSED SUBOBJECTS AND PURE QUOTIENT GOLDIE DIMENSION ⋮ Endomorphism Rings with Finitely Many Maximal Right Ideals ⋮ Direct summands of serial modules ⋮ Modules whose small submodules have Krull dimension ⋮ The Jordan-Zassenhaus theorem and direct decompositions ⋮ Properties of endomorphism rings ⋮ Divisible modules and localization ⋮ Direct sum decompositions of modules, semilocal endomorphism rings, and Krull monoids ⋮ On semilocal modules and rings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Krull-Schmidt and cancellation over local rings
• On dual rings and their modules
• Jacobson's conjecture, Morita duality and related questions
• Rings with Morita duality
• Linear compactness and Morita duality
• \(K\)-theory and stable algebra
• Linear kompakte Moduln und Ringe
• Power cancellation for artinian modules
• Surjective endomorphisms of finitely generated modules
• Dual goldie dimension
• Krull-Schmidt Fails for Artinian Modules
• Torsion preradicals and ascending Loewy series of modules.
• On Morita Duality
• Endomorphism Rings of Projective Modules
• Linearly Compact Modules and Rings
• On semilocal rings