A Remark on Projective Dimension of Fiat Modules.
About the globular homology of higher dimensional automata
An additivity formula for the strict global dimension of C(Ω)
Let A be a unital strict Banach algebra, and let K + be the one-point compactification of a discrete topological space K. Denote by the weak tensor product of the algebra A and C(K +), the algebra of continuous functions on K +. We prove that if K has sufficiently large cardinality (depending on A), then the strict global dimension is equal to .
An axiomatic approach to homological dimension.
Bounds for the homological dimensions of pullbacks.
Classification of Soluble Groups of Cohomologie Dimension Two.
Cohomological Dimension of Local Fields.
Estimates for the Betti numbers of rationally elliptic spaces.
Etude de la categorie des algebres de Hopf commutatives connexes sur un corps.
Finitistic dimension and restricted injective dimension
We study the relations between finitistic dimensions and restricted injective dimensions. Let be a ring and a left -module with . If is selforthogonal, then we show that . Moreover, if is a left noetherian ring and is a finitely generated left -module with finite injective dimension, then . Also we show by an example that the restricted injective dimensions of a module may be strictly smaller than the Gorenstein injective dimension.
Fittings's Invariants and a Theorem of Grauert.
G Maps and the Projective Class Group
Groups of finite quasi-projective dimension.
Groups with Homological Duality Generalizing Poincaré Duality.
Homological Dimension of Pullbacks.
Maps of cotriples and a change of rings theorem
Methods of calculating cohomological and Hochschild-Mitchell dimensions of finite partially ordered sets.
Modules de -bordisme. Couples exacts cohérents
Modules de -bordisme. -résolutions de complexes finis
On Arens-Michael algebras which do not have non-zero injective ⨶-modules
A certain class of Arens-Michael algebras having no non-zero injective topological ⨶-modules is introduced. This class is rather wide and contains, in particular, algebras of holomorphic functions on polydomains in , algebras of smooth functions on domains in , algebras of formal power series, and, more generally, any nuclear Fréchet-Arens-Michael algebra which has a free bimodule Koszul resolution.