The ghost and weak dimensions of rings and ring spectra

DOI10.1007/s11856-011-0022-8zbMath1237.55007arXiv0903.4659OpenAlexW2012295482MaRDI QIDQ532601

Mark A. Hovey, Keir H. Lockridge

Publication date: 5 May 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4659

Mathematics Subject Classification ID

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

Related Items (3)

Nilpotence and generation in the stable module category ⋮ Some dimensions of DG polynomial algebras ⋮ Transfinite Adams representability

Cites Work

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• Semisimple ring spectra
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Phantom maps and homology theories
• On a theorem of Brown and Adams
• The ghost dimension of a ring
• Axiomatic stable homotopy theory
• Failure of Brown representability in derived categories

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