Characterization of rings using direct-projective modules and direct- injective modules

DOI10.1016/0022-4049(93)90073-3zbMath0788.16007OpenAlexW2027688439WikidataQ114215367 ScholiaQ114215367MaRDI QIDQ1802154

Weimin Xue

Publication date: 7 June 1994

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

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90073-3

zbMATH Keywords

semisimple ringsleft hereditary ringsummandinjective submodulesdirect-injective modulesdirect-projectiveprojective \(R\)-module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Other classes of modules and ideals in associative algebras (16D80)

Related Items (14)

C3-Modules ⋮ Strongly D2 modules and their applications ⋮ Rings whose cyclics are D3-modules ⋮ Pure-direct-projective modules ⋮ Semiregular modules and f-semiperfect modules ⋮ Pure-direct-injective objects in Grothendieck categories ⋮ Rings characterized by injectivity classes ⋮ D3-Modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relatively Semiregular Modules ⋮ Rings characterized by projectivity classes ⋮ The rings characterized by minimal left ideals.

Cites Work

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• On direct representations of quasi-injectives and quasi-projectives
• Rings for which every cyclic module is quasi-projective
• Modules with decompositions that complement direct summands
• On the generalizations of injectivity
• Semiregular Modules and Rings
• The Structure of Semi-Local HQ Rings
• Quasi-Injective and Pseudo-Infective Modules
• Ring Theoretic Properties of Matrix Rings
• Quasi-Projective Covers and Direct Sums
• Characterization of Rings Using Quasiprojective Modules. II
• Generalizations of QF-3 Algebras
• Relative Projectivity and Injectivity Classes Determined by Simple Modules
• Some homological characterizations of regular rings

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