Generalized Brown representability in homotopy categories: erratum.
Generalized canonical algebras and standard stable tubes
We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.
Generalized differential forms over an operand and algebraic models of fibrations. (Formes différentielles généralisées sur une opérade et modéles algébriques des fibrations.)
Generalized group homology
Generalized homotopy in C-categories.
Generalized homotopy theory.
Generalized Koszul complexes and Hochschild (co-)homology of complete intersections.
Generation of proper classes of short exact sequences.
Germs of quasi-continuous functions
G-functors, G-posets and homotopy decompositions of G-spaces
We describe a unifying approach to a variety of homotopy decompositions of classifying spaces, mainly of finite groups. For a group G acting on a poset W and an isotropy presheaf d:W → (G) we construct a natural G-map which is a (non-equivariant) homotopy equivalence, hence is a homotopy equivalence. Different choices of G-posets and isotropy presheaves on them lead to homotopy decompositions of classifying spaces. We analyze higher limits over the categories associated to isotropy presheaves...
Globular realization and cubical underlying homotopy type of time flow of process algebra.
Gorenstein projective complexes with respect to cotorsion pairs
Let be a complete and hereditary cotorsion pair in the category of left -modules. In this paper, the so-called Gorenstein projective complexes with respect to the cotorsion pair are introduced. We show that these complexes are just the complexes of Gorenstein projective modules with respect to the cotorsion pair . As an application, we prove that both the Gorenstein projective modules with respect to cotorsion pairs and the Gorenstein projective complexes with respect to cotorsion pairs possess...
Gorenstein star modules and Gorenstein tilting modules
We introduce the notion of Gorenstein star modules and obtain some properties and a characterization of them. We mainly give the relationship between -Gorenstein star modules and -Gorenstein tilting modules, see L. Yan, W. Li, B. Ouyang (2016), and a new characterization of -Gorenstein tilting modules.
Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.
Group extensions, crossed pairs and an eight term exact sequence.
Groupoids and crossed objects in algebraic topology.
Groups of finite quasi-projective dimension.
Groups with Homological Duality Generalizing Poincaré Duality.
Hall algebra of morphism category
This paper investigates a universal PBW-basis and a minimal set of generators for the Hall algebra , where is the category of morphisms between projective objects in a finitary hereditary exact category . When is the representation category of a Dynkin quiver, we develop multiplication formulas for the degenerate Hall Lie algebra , which is spanned by isoclasses of indecomposable objects in . As applications, we demonstrate that contains a Lie subalgebra isomorphic to the central extension...
Hecke operators on the -analogue of group cohomology.