Global dimensions of right coherent rings with left Krull dimension

DOI10.1017/S0004972700002689zbMath0654.16018OpenAlexW1992699211MaRDI QIDQ3800223

Mark L. Teply

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700002689

zbMATH Keywords

projective dimensionsweak global dimensionGabriel dimensionleft Krull dimensionsimple left R-modulesleft noetherianright coherent ringleft global dimensionweak dimensionsindecomposable injective left R-modulesleft fully bounded noetherian

Mathematics Subject Classification ID

Homological dimension in associative algebras (16E10) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (2)

Gabriel dimension and spectral torsion theories ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The Gabriel dimension of a module
• Direct Products of Modules
• Global dimension of fully bounded noetherian rings
• Homological properties of the enveloping algebra U(Sl₂)
• Homological properties of the ring of differential polynomials

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