… a domestic algebra whose module category does not have its … that the indecomposable
A-modules occur, in each dimension … the infinite radical of its module category are equivalent. It Ž …

… By an A-module we mean a finitely generated, right A-module. We denote by modA the
category of all A-modules, by indA the full subcategory of modA … In a forthcoming paper [CMMS] …

… Our point of view is that modular categories merit being … , according to which every modular
category is (equivalent to) … the squared dimensions appeared in [38], where its square …

… modular category is a pointed modular category. As a consequence, we get the structure of
an integral ASF modular category: … algebraically closed field k of characteristic zero. A fusion …

… locally bounded linear category over a field with radical squared zero. We shall show that
the bounded derived category D b ( Mod b Λ ) of finitely supported left Λ-modules admits a …

… stable module category can be interpreted in terms of genuine colimits in the module category.
… Each map ηJ is non-zero, and so surjective, since in the stable category it is isomorphic to …

… category of grading-restricted generalized A-modules in \(\mathcal {C}\), and vice versa. The
most important condition is that A be a rigid V-module in \(\mathcal {C}\) with non-zero … -zero. …

… We also remark that Sq admits the Jordan-Hˆlder theorem and the Krull-Schmidt theorem
and a simple object in Sq (ie, a non-zero squarefree module without non-trivial squarefree …

… categories of modules that arise in geometry and physics. For example, we will apply our
framework to construct categories of modules … These are dga’s where d2 is not necessarily zero…

… conjecture for modular categories that there are only finitely many modular categories of …
advance is a Cauchy theorem for modular categories: given a modular category C, the set of …