Coranks of a quasi-projective module and its endomorphism ring

DOI10.1017/S0017089500030998zbMath0814.16003MaRDI QIDQ4313576

Tsutomu T. Takeuchi

Publication date: 13 June 1995

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

direct productepimorphismendomorphism ringcorank\(\Sigma\)-projective left \(R\)-modulequasi-projective \(R\)-module

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Free, projective, and flat modules and ideals in associative algebras (16D40) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (2)

Finitely Generated Flat Modules and a Characterization of Semiperfect Rings ⋮ On semilocal modules and rings

Cites Work

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• On Goldie and dual Goldie dimensions
• Modules with supplements
• On cofinite-dimensional modules
• On endomorphism rings of quasiprojective modules
• The Duals of the Camillo-Zelmanowitz Formulas for Goldie Dimension
• Dual goldie dimension
• Dual goldie dimension - II
• Factors of cofinitely generated injective modules
• A Note on Dualizing Goldie Dimension
• Modules with Finite Spanning Dimension

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