Quasi-projective modules over prime hereditary Noetherian V-rings are projective or injective.

DOI10.1016/J.JALGEBRA.2012.04.002zbMath1262.16002OpenAlexW2070627651WikidataQ122184673 ScholiaQ122184673MaRDI QIDQ1758180

Christopher J. Holston, Hai Quang Dinh, Dinh Van Huynh

Publication date: 8 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.04.002

zbMATH Keywords

projective modulesinjective modulesV-ringsquasi-projective moduleshereditary Noetherian ringsNoetherian hereditary domains

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10)

Related Items (5)

Some results on V-rings and weakly V-rings. ⋮ Faith’s problem on $R$-projectivity is undecidable ⋮ Rings for which every cyclic module is dual automorphism-invariant ⋮ Max-projective modules ⋮ When \(R\) is a testing module for projectivity?

Cites Work

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• Rings whose modules have maximal or minimal projectivity domain.
• Projective modules
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• On rings whose simple modules are injective
• When are proper cyclics injective?
• A Right PCI Ring is Right Noetherian
• Homological properties of the ring of differential polynomials
• The Restricted Minimum Condition in Noetherian Hereditary Rings
• Singular torsion and the splitting properties

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