The Local Rings of Global Dimension Two

DOI10.2307/2037612zbMath0254.13017OpenAlexW4233326230MaRDI QIDQ5668901

Vasconcelos, Wolmer V.

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2037612

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological methods in associative algebras (16Exx)

Related Items

The Homological Dimensions of Symmetric Algebras ⋮ The Auslander-Bridger formula and the Gorenstein property for coherent rings ⋮ Unnamed Item ⋮ Finiteness in Prime Ideals in Rings of Global Dimension Two ⋮ Star operations and pullbacks. ⋮ Hereditary localization of polynomial rings ⋮ Generalized umbrella rings ⋮ Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks ⋮ Global dimension of cartesian squares ⋮ Coherence in cartesian squares ⋮ Coherence of Polynomial Rings ⋮ Coherence of One Polynomial Ring ⋮ Sur quelques classes d’anneaux divisés

Cites Work

• Projective modules
• On the Dimension of Modules and Algebras (III): Global Dimension
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Direct Products of Modules
• The Homological Dimension of a Quotient Field
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