… We characterize the module categories of suitably finite Hopf … finite in the sense of a work
by the author (2000)) as those k-linear abelian monoidal categories that are module categories …

… the interrelations between perpendicular categories and localizing categories. Let d be an
abelian category. Recall that a … We concentrate on the case of a module category over a ring. …

… finite type, we define a dimension category ‘$I to be of jinite … subcategory with a module
category of infinite type. Besides, … concerning the categories of strongly unbounded type (…

… By a generalized modular category we will mean a ribbon Ab-category V equipped with a
finite family I of simple objects (V,), and an element T e K = Kv satisfying the following …

… in the framework of braided module category. It provides a … braided module category and
show that the category BCDN of N … braided module category over the ribbon category structure …

… We show that T is a cotilting module of finite injective … contravariantly finite in mod /1 and
every n-module has a finite resolution … Since add T is of finite type, ie, has only a finite number of …

… The notion of an orbifold datum A in a modular fusion category C was introduced as part of …
duce a ribbon category CA and show that it is again a modular fusion category. The definition …

… We show that a family C = {Mi|i ∈ I} of indecomposable modules has only a finite number of
… -modules is said to be of finite type if C contains only finitely many non-isomorphic modules. …

… • In Theorem 1.1, we identify braided module categories with a generator as modules for
an … module categories with generators over their common braided Aaction as a category of …

… , positive energy (also known as CFT-type), \(C_2\)-cofinite, and rational. The full-module
category of such a vertex operator algebra is a (semisimple) modular tensor category [14]. …