Hochschild homology and cohomology of Generalized Weyl algebras: the quantum case
We determine the Hochschild homology and cohomology of the generalized Weyl algebras of rank one which are of ‘quantum’ type in all but a few exceptional cases.
Homological and Topological Properties of Locally Indicable Groups.
Homological Dimension and representation type of algebras under base field extension.
Homological Dimension and Stationary Sets.
Homological Dimension under Change of Rings.
Homological dimensions and approximate contractibility for Köthe algebras
We give a survey of our recent results on homological properties of Köthe algebras, with an emphasis on biprojectivity, biflatness, and homological dimension. Some new results on the approximate contractibility of Köthe algebras are also presented.
Homological dimensions for endomorphism algebras of Gorenstein projective modules
Let be a CM-finite Artin algebra with a Gorenstein-Auslander generator , be a Gorenstein projective -module and . We give an upper bound for the finitistic dimension of in terms of homological data of . Furthermore, if is -Gorenstein for , then we show the global dimension of is less than or equal to plus the -projective dimension of As an application, the global dimension of is less than or equal to .
Homological Dimensions of Finitely Presented Modules.
Homological domino effects and the first Finitistic Dimension Conjecture.