Hochschild homology of finite dimensional algebras.
Hodge decomposition for higher order Hochschild homology
Homogeneous approximations and local observer design
This paper is concerned with the construction of local observers for nonlinear systems without inputs, satisfying an observability rank condition. The aim of this study is, first, to define an homogeneous approximation that keeps the observability property unchanged at the origin. This approximation is further used in the synthesis of a local observer which is proven to be locally convergent for Lyapunov-stable systems. We compare the performance of the homogeneous approximation observer with the...
Homogeneous polynomials with isomorphic Milnor algebras
We recall first Mather's Lemma providing effective necessary and sufficient conditions for a connected submanifold to be contained in an orbit. We show that two homogeneous polynomials having isomorphic Milnor algebras are right-equivalent.
Homogeneous Universal Modules.
Homological and Topological Properties of Locally Indicable Groups.
Homological Characterization of Lean Algebras.
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 of Finitely Presented Modules.
Homological domino effects and the first Finitistic Dimension Conjecture.
Homological Methods Applied to the Derived Series of Groups
Homological properties of some Weyl algebra extensions
Homologie de l'algèbre quantique des symboles pseudo-différentiels sur le cercle
Homologie de quotients primitifs de l'algèbre enveloppante de ...l(2).
Homologie et modèle minimal des algèbres de Gerstenhaber
On étudie ici les notions d’algèbre de Gerstenhaber à homotopie près et d’homologie des algèbres de Gerstenhaber du point de vue de la théorie des opérades. Précisément, on donne une description explicite des -algèbres à homotopie près (c’est-à-dire d’algèbres sur le modèle minimal de l’opérade des algèbres de Gerstenhaber). On décrit également le complexe calculant l’homologie des -algèbres. On donne une suite spectrale qui converge vers cette homologie et quelques exemples de calculs. Enfin...
Homology and cohomology of Rees semigroup algebras
Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.
Homology of invariants of a Weyl algebra under a finite group action. (Homologie des invariants d'une algèbre de Weyl sous l'action d'un groupe fini.)