A Morita-duality is an additive contravariant category-equivalence between two categories of
R-right-and S-left-modulesr, which are both closed under sub-and factor-modules and …

We prove that certain subcategories of, consisting of complete modules having a quasi-
Verma flag with respect to a Levi subalgebra, admit a combinatorial description similar to …

On projectivity in locally presentable categories Page 1 Journal of Algebra 272 (2004) 701–710
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …

Given any additive category C with split idempotents, pseudokernels and pseudocokernels,
we show that a subcategory B is coreflective if, and only if, it is precovering, closed under …

The notion of weak subobject, or variation, was introduced by Grandis (Cahiers Topologie
Géom. Différentielle Catégoriques 38 (1997) 301–326) as an extension of the notion of …

ordinary category would be the category of Y-functors from! to and V-natural transformations
between them. We present here some observations on the problem. The remarks in the …

Here a topological R-left module. Y is called topologically coherent if it admits a basis of
neighborhoods of 0 consisting of submodules X'such that-X/S'is coherent in the category of …

We show, in full generality, that Lusztig's $\mathbf {a} $-function describes the projective
dimension of both indecomposable tilting modules and indecomposable injective modules …

Given a commutative coherent ring $ R $, a bijective correspondence between the thick
subcategories of perfect complexes $\mathcal D_ {\operatorname {per}}(R) $ and the Serre …

The functors K0 and K1 have well-known descriptions in terms of projectives and
automorphisms, respectively. The purpose of this paper is to give analogous descriptions of …