GAGA for DQ-algebroids
Galois extensions as functors of comodules.
Galois H-objects with a normal basis in closed categories. A cohomological interpretation.
In this paper, for a cocommutative Hopf algebra H in a symmetric closed category C with basic object K, we get an isomorphism between the group of isomorphism classes of Galois H-objects with a normal basis and the second cohomology group H2(H,K) of H with coefficients in K. Using this result, we obtain a direct sum decomposition for the Brauer group of H-module Azumaya monoids with inner action:BMinn(C,H) ≅ B(C) ⊕ H2(H,K)In particular, if C is the symmetric closed category of C-modules with K a...
Gamuts and cofibrations
Gaps and dualities in Heyting categories
We present an algebraic treatment of the correspondence of gaps and dualities in partial ordered classes induced by the morphism structures of certain categories which we call Heyting (such are for instance all cartesian closed categories, but there are other important examples). This allows to extend the results of [14] to a wide range of more general structures. Also, we introduce a notion of combined dualities and discuss the relation of their structure to that of the plain ones.
General associativity and general composition for double categories
Generalized differential forms over an operand and algebraic models of fibrations. (Formes différentielles généralisées sur une opérade et modéles algébriques des fibrations.)
Generalized homotopy theory.
Generators and relations for as a monoidal 2-category.
Generic commutative separable algebras and cospans of graphs.
Generic morphisms, parametric representations and weakly cartesian monads.
Glueing enriched modules and composition of automata
Graded monoidal categories
Graphs of morphisms of graphs.
Groupoid enriched categories and natural systems.
Groupoids and crossed objects in algebraic topology.