Preradicals
Prime and coprime modules
Primitive Ideals of Certain Noetherian Algebras.
Projective homomorphisms and extensions of lattices.
Projective purities
Projective representations of quivers.
Projektive Abbildung von Moduln
Properties of G-atoms and full Galois covering reduction to stabilizers
Given a group G of k-linear automorphisms of a locally bounded k-category R it is proved that the endomorphism algebra of a G-atom B is a local semiprimary ring (Theorem 2.9); consequently, the injective -module is indecomposable (Corollary 3.1) and the socle of the tensor product functor is simple (Theorem 4.4). The problem when the Galois covering reduction to stabilizers with respect to a set U of periodic G-atoms (defined by the functors and )is full (resp. strictly full) is studied...
Pseudo-représentations.
QF-1 Algebras of Local-Colocal Type.
QF-3 rings.
Quantization of the Marsden-Weinstein reduction for extended Dynkin quivers
Quasi-hereditary algebras with a duality.
Quasi-Hereditary Orders.
Quasimodules generated by three elements
Quasitilted algebras have preprojective components
We show that a quasitilted algebra has a preprojective component. This is proved by giving an algorithmic criterion for the existence of preprojective components.
Quasi-tilted algebras of canonical type
Quiver bialgebras and monoidal categories
We study bialgebra structures on quiver coalgebras and monoidal structures on the categories of locally nilpotent and locally finite quiver representations. It is shown that the path coalgebra of an arbitrary quiver admits natural bialgebra structures. This endows the category of locally nilpotent and locally finite representations of an arbitrary quiver with natural monoidal structures from bialgebras. We also obtain theorems of Gabriel type for pointed bialgebras and hereditary finite pointed...
Quiver varieties and the character ring of general linear groups over finite fields
Given a tuple of irreducible characters of we define a star-shaped quiver together with a dimension vector . Assume that is generic. Our first result is a formula which expresses the multiplicity of the trivial character in the tensor product as the trace of the action of some Weyl group on the intersection cohomology of some (non-affine) quiver varieties associated to . The existence of such a quiver variety is subject to some condition. Assuming that this condition is satisfied, we...
Quiver varieties with multiplicities, Weyl groups of non-symmetric Kac-Moody algebras, and Painlevé equations.