Rings whose cyclics have finite Goldie dimension

DOI10.1016/0021-8693(92)90147-EzbMath0766.16007OpenAlexW2042323164MaRDI QIDQ1204388

A. H. Al-Huzali, Sergio R. López-Permouth, Surender Kumar Jain

Publication date: 28 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90147-e

zbMATH Keywords

direct sumfinite Goldie dimensionfinitely generated right modulecyclic right \(R\)-moduleinjective right \(R\)- modulesweakly \(N\)-injective

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

Generalized finiteness conditions ⋮ Module types ⋮ Weak injectivity and module classes ⋮ On the weak-injectivity profile of a ring ⋮ When Cyclic Modules Have Σ-Injective Hulls

Cites Work

• Rings whose cyclics are essentially embeddable in projective modules
• Dual generalizations of the Artinian and Noetherian conditions
• Modules whose quotients have finite Goldie dimension
• Rings whose cyclic modules have finitely generated socle
• Modules with decompositions that complement direct summands
• On a class of QI-rings

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