The ghost dimension of a ring

DOI10.1090/S0002-9939-09-09672-5zbMath1207.16005MaRDI QIDQ3629409

Keir H. Lockridge, Mark A. Hovey

Publication date: 27 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

derived categoriesglobal dimensioncoherent ringsperfect complexesghost mapsweak dimensionghost dimension

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10)

Related Items (7)

Nilpotence and generation in the stable module category ⋮ Some dimensions of DG polynomial algebras ⋮ Upper and lower bounds of the (co)chain type level of a space ⋮ Ideal cotorsion theories in triangulated categories ⋮ The ghost and weak dimensions of rings and ring spectra ⋮ Orlov spectra: bounds and gaps ⋮ Transfinite Adams representability

Cites Work

• The generating hypothesis in the derived category of \(R\)-modules
• The generating hypothesis in the derived category of a ring.
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Ghosts in modular representation theory.
• Unnamed Item

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