Repetitive resolutions over classical orders and finite dimensional algebras

zbMath0913.16006arXiv1407.2321MaRDI QIDQ4217061

Birge Huisgen-Zimmermann, Kenneth R. Goodearl

Publication date: 7 June 1999

Full work available at URL: https://arxiv.org/abs/1407.2321

zbMATH Keywords

finite-dimensional algebrasprojective dimensionprojective resolutionsfinitistic dimensionhomological dimensionsyzygy modulesclassical ordersPoincaré-Betti seriesrepresentation-finite Krull-Schmidt categoriessyzygy categories

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of orders, lattices, algebras over commutative rings (16G30) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items (7)

Derived invariance by syzygy complexes ⋮ Auslander bounds and homological conjectures. ⋮ Complexity classes of modules over finite dimensional algebras ⋮ Algebras that satisfy Auslander's condition on vanishing of cohomology. ⋮ The depth, the delooping level and the finitistic dimension ⋮ Unbounded derived categories and the finitistic dimension conjecture ⋮ A note on block triangular presentations of rings and finitistic dimension.

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