On modules with the Kulikov property and pure semisimple modules and rings

DOI10.1016/0022-4049(91)90077-FzbMath0735.16003MaRDI QIDQ1814226

Robert Wisbauer

Publication date: 25 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

functor categoriesindecomposable right modulespure-semisimple ringsdirect sum of finitely generated submodules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Applications of logic in associative algebras (16B70)

Related Items

A test for finite representation type, Endoproperties of modules and local duality., Strong preinjective partitions and almost split morphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zur Brauer-Thrall-Vermutung für Ringe
• Partial Coxeter functors and right pure semisimple hereditary rings
• Perfect categories. I
• Rings with finiteness conditions and their categories of functors
• On the global dimension of the functor category \(((\bmod R)^{op},Ab)\) and a theorem of Kulikov
• Direct Products of Modules
• On the Sparsity of Representations of Rings of Pure Global Dimension Zero
• Sur la conjecture de brauer-thrall pour les modules par
• Modules Purs—Semi—Simples
• Duality and Pure-Semisimple Rings
• Representation Theory of Artin Algebras II