Lower-Estimates on the Hochschild (Co)Homological Dimension of Commutative Algebras and Applications to Smooth Affine Schemes and Quasi-Free Algebras

Lower-Estimates on the Hochschild (Co)Homological Dimension of Commutative Algebras and Applications to Smooth Affine Schemes and Quasi-Free Algebras

The Hochschild cohomological dimension of any commutative k-algebra is lower-bounded by the least-upper bound of the flat-dimension difference and its global dimension. Our result is used to show that for a smooth affine scheme <i>X</i> satisfying Pointcaré duality, there must exist a ve...

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Bibliographic Details
Main Author: Anastasis Kratsios
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Mathematics
Subjects:
hochschild cohomology
homological dimension theory
non-commutative geometry
quasi-free algebras
pointcaré duality
higher differential forms
Online Access:https://www.mdpi.com/2227-7390/9/3/251

Internet

https://www.mdpi.com/2227-7390/9/3/251

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