Desingularization of regular algebras

DOI10.1016/j.jpaa.2017.09.008zbMath1400.13024arXiv1310.1862OpenAlexW2964034007MaRDI QIDQ1743008

Mohsen Asgharzadeh

Publication date: 12 April 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1862

zbMATH Keywords

regular ringglobal dimensiondesingularizationlocal ringcoherent ringsweak dimension

Mathematics Subject Classification ID

Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Regular local rings (13H05)

Cites Work

• F-coherent rings with applications to tight closure theory
• Modules over unramified regular local rings
• Homological properties of the perfect and absolute integral closures of noetherian domains
• On the notion of Cohen-Macaulayness for non-Noetherian rings
• Noetherian property of inductive limits of Noetherian local rings
• Commutative coherent rings
• Some structure theorems for finite free resolutions
• Super-regularity in local rings
• Lifting chains of prime ideals
• APPLICATIONS OF CLOSURE OPERATIONS ON BIG COHEN–MACAULAY ALGEBRAS
• On the Dimension of Modules and Algebras IX: Direct Limits
• Products of Commutative Rings and Zero-Dimensionality
• Upper Bounds on Homological Dimensions
• Loewy Length of Perfect Rings
• Regularity Conditions in Nonnoetherian Rings
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