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
Derived functors of and abelian ab3*- and Ab4*-categories with enough injectives
Differential equations, Spencer cohomology, and computing resolutions.
Dualité dans la catégorie des complexes filtrés d'opérateurs differentiels d'ordre ≤ 1.
Let X be a separated scheme of finite type on a field k, the characteristic of k being assumed not equal to 2. We construct a duality for complexes of sheaves of Ox modules with maps differential operators of order ≤ 1. This theory is an extension of the theory built by R. Hartshorne for complexes with linear maps.
Explicit resolutions for the binary polyhedral groups and for other central extensions of the triangle gorups.
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.
Free crossed resolutions from simplicial resolutions with given -basis
Freie Auflösungen äusserer Potenzen.
Generalized Koszul complexes and Hochschild (co-)homology of complete intersections.
Germs of quasi-continuous functions
Groups of finite quasi-projective dimension.
Higher dimensional Peiffer elements in simplicial commutative algebras.
Homological methods in the solution of certain functional equations.
Homological perturbation theory and associativity.
Homology groups and eight-term exact sequences