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We continue the study of the category of functors $ℱ_{q u a d}$ , 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 $ℱ_{q u a d}$ ; this refines to give a decomposition into indecomposable factors of the first two standard projective objects in $ℱ_{q u a d}$ : $P_{H ₀}$ and $P_{H ₁}$ . 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.

Taylor, Paul (2000)

Theory and Applications of Categories [electronic only]

Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories

Jolanta Słomińska (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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$g$ -monomorphisms

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 $𝒞 a t$ .

Generation of coreflections in categories

Generic representations of orthogonal groups: projective functors in the category $ℱ_{q u a d}$

Geometric and higher order logic in terms of abstract Stone duality.

Graph Cohomology, Colored Posets and 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.

Currently displaying 1 – 14 of 14