When \(R\) is a testing module for projectivity?

DOI10.1016/j.jalgebra.2017.04.010zbMath1384.16001OpenAlexW2608529944MaRDI QIDQ2357075

Gena Puninski, Yasser Ibrahim, Hayder Alhilali, Mohamed F. Yousif

Publication date: 19 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.04.010

zbMATH Keywords

projective modulesBaer criterionBass rings\(R\)-projective modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Noncommutative local and semilocal rings, perfect rings (16L30)

Related Items (4)

Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings ⋮ The dual Baer criterion for non-perfect rings ⋮ Faith’s problem on $R$-projectivity is undecidable ⋮ Max-projective modules

Cites Work

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• Quasi-projective modules over prime hereditary Noetherian V-rings are projective or injective.
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• Modules with decompositions that complement direct summands
• Über injektive Moduln
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• R -Projective Modules over a Semiperfect Ring
• Whitehead test modules
• Shorter Notes: Commutative, Noetherian Rings Over which every Module has a Maximal Submodule
• On Semiperfect and Perfect Rings
• Homological properties of the ring of differential polynomials

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