-structure on the Cohomology of the Free 2-Nilpotent Lie Algebra
Calcul des satellites et présentations des bimodules à l'aide des carrés exacts
Calcul des satellites et présentations des bimodules à l'aide des carrés exacts (2e partie)
Cartan-Eilenberg projective, injective and flat complexes
Let be an associative ring with identity and a class of -modules. In this article: we first give a detailed treatment of Cartan-Eilenberg complexes and extend the basic properties of the class to the class ). Secondly, we study and give some equivalent characterizations of Cartan-Eilenberg projective, injective and flat complexes which are similar to projective, injective and flat modules, respectively. As applications, we characterize some classical rings in terms of these complexes,...
Catégories dérivables
Ces notes sont consacrées à la construction de dérivateurs à partir d’une nouvelle notion de catégorie de modèles assez générale pour recouvrir les théories de Quillen, Thomason et Brown. On développe en particulier la théorie des catégories exactes dérivables (par exemple les catégories de Frobenius et les catégories biWaldhausen compliciales vérifiant de bonnes propriétés de stabilité homotopique), lesquelles donnent lieu à des dérivateurs triangulés. On donne une caractérisation combinatoire...
Cellular Actions and Groups of Finite Quasi-Projective Dimension.
Chain complexes and stable categories.
Cohomología respecto a una variedad de una categoría.
Cohomology of groups, Abelian Sylow subgroups and splendid equivalences.
Cohomology of groups with operators.
Cohomology theories and infinite CW-Complexes.
Commutative diagrams for the inflation-restriction sequence
Comparison of abelian categories recollements.
Complexity and Multiple Complexes.
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Connected sequences of stable derived functors and their applications [Book]
Continuous Étale Cohomology.
Copure injective resolutions, flat resolvents and dimensions
In this paper, we show the existence of copure injective preenvelopes over noetherian rings and copure flat preenvelopes over commutative artinian rings. We use this to characterize -Gorenstein rings. As a consequence, if the full subcategory of strongly copure injective (respectively flat) modules over a left and right noetherian ring has cokernels (respectively kernels), then is -Gorenstein.
Crossed complexes, and free crossed resolutions for amalgamated sums and HNN-extensions of groups.
Crossed modules in and a Brown-Spencer theorem for -categories