-monomorphisms
-quasi-Frobenius Lie algebras
A Lie version of Turaev’s -Frobenius algebras from 2-dimensional homotopy quantum field theory is proposed. The foundation for this Lie version is a structure we call a -quasi-Frobenius Lie algebra for a finite dimensional Lie algebra. The latter consists of a quasi-Frobenius Lie algebra together with a left -module structure which acts on via derivations and for which is -invariant. Geometrically, -quasi-Frobenius Lie algebras are the Lie algebra structures associated to symplectic...
Gamuts and cofibrations
General linear and functor cohomology over finite fields.
Generalization of the concept of variety and quasivariety to partial algebras through category theory [Book]
Generalized Adams completion
Generalized congruences – epimorphisms in .
Generation of coreflections in categories
Generic representations of orthogonal groups: projective functors in the category
We continue the study of the category of functors , associated to ₂-vector spaces equipped with a nondegenerate quadratic form, initiated in J. Pure Appl. Algebra 212 (2008) and Algebr. Geom. Topology 7 (2007). We define a filtration of the standard projective objects in ; this refines to give a decomposition into indecomposable factors of the first two standard projective objects in : and . As an application of these two decompositions, we give a complete description of the polynomial functors...
Geometric and higher order logic in terms of abstract Stone duality.
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.
Graph cycles and diagram commutativity
Graphes sans circuit et bilinéarité
Graphs of morphisms of graphs.
Gruppentopologien auf nichtabelschen abzählbaren Gruppen.
Hereditarity of closure operators and injectivity
A notion of hereditarity of a closure operator with respect to a class of monomorphisms is introduced. Let be a regular closure operator induced by a subcategory . It is shown that, if every object of is a subobject of an -object which is injective with respect to a given class of monomorphisms, then the closure operator is hereditary with respect to that class of monomorphisms.
Higher fundamental functors for simplicial sets
Homology with models
Homomorphism theorem for equationally partial algebras
Homotopic pullbacks, Lax pullbacks, and exponentiability