modules and rings
Quadratic Spaces Over Polynomial Extensions of Regular Rings of Dimension 2.
Quadratische Formen in additiven Kategorien
Quandle coverings and their Galois correspondence
This article establishes the algebraic covering theory of quandles. For every connected quandle Q with base point q ∈ Q, we explicitly construct a universal covering p: (Q̃,q̃̃) → (Q,q). This in turn leads us to define the algebraic fundamental group , where Adj(Q) is the adjoint group of Q. We then establish the Galois correspondence between connected coverings of (Q,q) and subgroups of π₁(Q,q). Quandle coverings are thus formally analogous to coverings of topological spaces, and resemble Kervaire’s...
Quantifying completion.
Quantizations in a category of relations.
Quantizations of braided derivations. I: Monoidal categories.
Quantizations of braided derivations. II: Graded modules.
Quantizations of braided derivations. III: Modules with action by a group.
Quantum symmetries for exceptional modular invariants associated with conformal embeddings.
Quasi locally connected toposes.
Quasi resolved semigroups and quintets.
Quasi-abelian categories and sheaves
Quasi-inverses of morphisms
Quasi-radicals and Radicals in Categories
Quasi-reflections and limits
Quasi-tilted algebras of canonical type
Quasitriangular Hom-Hopf algebras
A twisted generalization of quasitriangular Hopf algebras called quasitriangular Hom-Hopf algebras is introduced. We characterize these algebras in terms of certain morphisms. We also give their equivalent description via a braided monoidal category . Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.
Quasitriangular Hopf group algebras and braided monoidal categories
Let be a group, and be a semi-Hopf -algebra. We first show that the category of left -modules over is a monoidal category with a suitably defined tensor product and each element in induces a strict monoidal functor from to itself. Then we introduce the concept of quasitriangular semi-Hopf -algebra, and show that a semi-Hopf -algebra is quasitriangular if and only if the category is a braided monoidal category and is a strict braided monoidal functor for any . Finally,...
Quasi-varieties of presheaves.