On the combinatorics of extensions of preinjective Kronecker modules.

DOI10.2478/AUSM-2014-0020zbMath1307.16015OpenAlexW2021296382MaRDI QIDQ472152

István Szöllősi

Publication date: 18 November 2014

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2014-0020

zbMATH Keywords

matrix pencilsKronecker algebraspreinjective Kronecker modulesextension monoid productsgeneralized majorizationmatrix completions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of quivers and partially ordered sets (16G20) Matrix pencils (15A22)

Related Items (3)

Bounded Rank Perturbations of Quasi-Regular Pencils Over Arbitrary Fields ⋮ Double generalized majorization ⋮ Combinatorial aspects of extensions of Kronecker modules.

Cites Work

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• Computing the extensions of preinjective and preprojective Kronecker modules.
• On preprojective short exact sequences in the Kronecker case.
• Subrepresentations of Kronecker representations.
• The terms in the Ringel-Hall product of preinjective Kronecker modules.
• Tame algebras and integral quadratic forms
• Hall numbers and the composition algebra of the Kronecker algebra.
• On convexity of polynomial paths and generalized majorizations
• Assigning the Kronecker invariants of a matrix pencil by row or column completions
• 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
• THE MONOID OF FAMILIES OF QUIVER REPRESENTATIONS
• On properties of the generalized majorization

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