On the combinatorics of extensions of preinjective Kronecker modules
Abstract We explore the combinatorial properties of a particular type of extension monoid product of preinjective Kronecker modules. The considered extension monoid product plays an important role in…
SHOWING 1-10 OF 22 REFERENCES
On Degenerations and Extensions of Finite Dimensional Modules
Abstract We derive a cancellation theorem for degenerations of modules that says in particular, that projective or injective common direct summands can always be neglected. Combining the cancellation…
Completion up to a matrix pencil with column minimal indices as the only nontrivial Kronecker invariants
Combinatorics of Column Minimal Indices and Matrix Pencil Completion Problems
- MathematicsSIAM J. Matrix Anal. Appl.
The possible Kronecker invariants of a matrix pencil with a prescribed sub pencil, when the prescribed subpencil has only column (row) minimal indices as Kr one-size-fits-all indices is described.
The Monoid of Families of Quiver Representations
A monoid structure on families of representations of a quiver is introduced by taking extensions of representations in families, that is, subvarieties of the varieties of representations. The study…
Representation Theory of Artin Algebras I
This is the first of a series of papers dealing with the representation theory of artin algebras, where by an artin algebra we mean an artin ring having the property that its center is an artin ring…
Assigning the Kronecker invariants of a matrix pencil by row or column completions
Formulas for Kronecker invariants using a representation theoretical approach