Some dimensions of DG polynomial algebras

DOI10.1080/00927872.2019.1710521zbMath1454.16003arXiv1902.03762OpenAlexW2999393529MaRDI QIDQ5107048

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Publication date: 22 April 2020

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

Full work available at URL: https://arxiv.org/abs/1902.03762

zbMATH Keywords

global dimensionKrull dimensionRouquier dimensionDG polynomial algebraphrasesghost dimension

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Automorphisms and endomorphisms (16W20) Differential graded algebras and applications (associative algebraic aspects) (16E45) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Cites Work

• Ghost length, cone length and complete level of DG modules.
• Krull dimension for differential graded algebras
• The ghost length and duality on the chain and cochain type levels
• The ghost and weak dimensions of rings and ring spectra
• On the homology of finite free \((Z/2)^ n\)-complexes
• Families of Auslander-Reiten components for simply connected differential graded algebras.
• Class rank of differential modules
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Upper and lower bounds of the (co)chain type level of a space
• Homology of perfect complexes
• DG polynomial algebras and their homological properties
• DG algebras with exterior homology
• Cone Length for DG Modules and Global Dimension of DG Algebras
• Homological Invariants for Connected DG Algebras
• The ghost dimension of a ring
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