On derived categories and derived functors.
On derived equivalence classification of gentle two-cycle algebras
We classify, up to derived (equivalently, tilting-cotilting) equivalence, all nondegenerate gentle two-cycle algebras. We also give a partial classification and formulate a conjecture in the degenerate case.
On generation of torsion theories
On generation of torsion theories: a correction
On Kurosh-Amitsur radicals of finite groups.
On -exact categories
An -exact category is a pair consisting of an additive category and a class of sequences with terms satisfying certain axioms. We introduce -weakly idempotent complete categories. Then we prove that an additive -weakly idempotent complete category together with the class of all contractible sequences with terms is an -exact category. Some properties of the class are also discussed.
On Neeman's well generated triangulated categories.
On nonstandard tame selfinjective algebras having only periodic modules
We investigate degenerations and derived equivalences of tame selfinjective algebras having no simply connected Galois coverings but the stable Auslander-Reiten quiver consisting only of tubes, discovered recently in [4].
On n-permutable equivalence relations in regular categories
On pure global dimension of locally finitely presented Grothendieck categories
On pure quotients and pure subobjects
In the theory of accessible categories, pure subobjects, i.e. filtered colimits of split monomorphisms, play an important role. Here we investigate pure quotients, i.e., filtered colimits of split epimorphisms. For example, in abelian, finitely accessible categories, these are precisely the cokernels of pure subobjects, and pure subobjects are precisely the kernels of pure quotients.
On pure semi-simple Grothendieck categories I
On pure semi-simple Grothendieck categories II
On quasitilted algebras which are one-point extensions of hereditary algebras
Quasitilted algebras have been introduced as a proper generalization of tilted algebras. In an earlier article we determined necessary conditions for one-point extensions of decomposable finite-dimensional hereditary algebras to be quasitilted and not tilted. In this article we study algebras satisfying these necessary conditions in order to investigate to what extent the conditions are sufficient.
On reflective subcategories of quasiabelian categories.
On rings whose flat modules form a Grothendieck category
On the categorical foundations of homological and homotopical algebra
On the category of commutative connected graded Hopf algebras over a perfect field
On the characterization of Jonsson-Tarski and of subtractive varieties
On the characterization of monadic categories over set