… An Ab-category is called additive if it has a zero object and every pair of objects has a direct
… the traces are connected to the intrinsic squared dimension by dL(X)dR(X) = d2(X). A pivotal …

… ” from the category of … category of finitely generated right modules on the associated canonical
algebra. By constructing a t-structure in the stable category of the vector bundle category, …

… for any supermodular category that is a subcategory of a modular category of twice its …
In this paper, k is always assumed to be an algebraically closed field of characteristic zero. …

… We define the category algebra RC to be the free R-module … length zero which is the identity
morphism at that object). The … hand square is a pullback in the category of small categories, …

… zero morphism if it factors through a projective module. We have therefore forced all projective
modules to be equivalant to the zero module … bottom map of the square is zero, and hence …

… Here we introduce categories of crossed modules over a bialgebra (braided group) A in a
braided category C. … Square antipode σ naturally appears in the formula for rank of crossed …

… module categories … categories. Using these characterisations, examples and criteria are
given to show that the notion of derived simplicity depends on the choice of derived categories. …

… the natural isomorphism τ to the square that involves λ, we find the following square: … may
be defined over any field, but for simplicity, we will assume all fields have characteristic zero. …

… zero, we show that the homotopy category of modules over the motivic ring spectrum representing
motivic cohomology is equivalent to Voevodsky’s big category … pullback square if and …