Zerlegungen von Moduln und Injektive über Ringoiden

DOI10.1007/BF01223731zbMath0441.16018OpenAlexW2030208145MaRDI QIDQ1142824

Dagmar Baer

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223731

zbMATH Keywords

pure semisimple ringsalmost split sequencesalgebraically compact modulesFP-injective modulecategories of finitely presented modulesdescending chain condition on annihilators

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

Tilting sheaves in representation theory of algebras ⋮ Noetherian categories and representation theory of hereditary artin algebras ⋮ Rings of finite representation type and modules of finite Morley rank ⋮ Zur Brauer-Thrall-Vermutung für Ringe

Cites Work

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• Injective modules over Noetherian rings
• Lectures on injective modules and quotient rings
• Direct-sum representations of injective modules
• Rings with several objects
• Direct Products of Modules
• Rings whose Right Modules are Direct Sums of Indecomposable Modules
• Representation theory of artin algebras iii almost split sequences
• Direct sums of projective modules as direct summaots of their direct product
• Rein injektive direkte summen von moduln
• Indecomposable injective functors from an abelian category to the category of abelian groups
• Representation Theory of Artin Algebras II
• Rings with Ascending Condition on Annihilators
• Coherent Rings and Fp -Injective Modules
• Stable module theory

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