17 citations · 89 across the 43 of their papers we have counts for
49 papers
Backström algebras
Yuriy A. Drozd
We introduce Backström pairs and Backström rings, study their derived categories and construct for them a sort of categorical resolutions. For the latter we define the global dimen…
Representations and cohomologies of Kleinian 4-rings
Yuriy A. Drozd
We introduce a new class of algebras over discrete valuation rings, called Kleinian 4-rings, which generalize the group algebra of the Kleinian 4-group. For these algebras we descr…
Representations of Munn algebras and related semigroups
Yuriy A. Drozd, Andriana I. Plakosh
We establish representation types (finite, tame or wild) of finite dimensional Munn algebras with semisimple bases. As an application, we establish representation types of finite 0…
Cohomologies of regular lattices over the Kleinian 4-group
Yuriy Drozd, Andriana Plakosh
We calculate explicitly cohomologies of the lattices over the Kleinian 4-group belonging to the regular components of the Auslander-Reiten quiver as well as of their dual modules.…
Rejection lemma and almost split sequences
Yuriy A. Drozd
We study the behaviour of almost split sequences and \art quivers of an order under rejection of bijective modules. In particular, we establish relations of stable categories and a…
Morita theory for non-commutative noetherian schemes
Igor Burban, Yuriy Drozd
In this paper, we study equivalences between the categories of quasi-coherent sheaves on non-commutative noetherian schemes. In particular, give a new proof of Caldararu's conjectu…