On the Multiplicity Problem and the Isomorphism Problem for the Four Subspace Algebra

DOI10.1080/00927872.2011.570830zbMath1334.15036arXiv1207.2081OpenAlexW1984299062MaRDI QIDQ2903362

Andrzej Mróz

Publication date: 8 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2081

zbMATH Keywords

algorithmrootscharacteristic polynomialmultiplicitiesisomorphic\(\Lambda\)-modulefour subspace algebra

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items (3)

On the normal forms of modules with respect to parametrizing bimodules. ⋮ Tree representations of the quiver $\widetilde{\mathbb{E}}_{6}$ ⋮ Tree representations of the quiver $\widetilde{\mathbb{D}}_{m}$

Cites Work

• On a separation of orbits in the module variety for string special biserial algebras.
• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• The indecomposable representations of the dihedral 2-groups
• Canonical matrices for linear matrix problems
• The multiplicity problem for indecomposable decompositions of modules over a finite-dimensional algebra. Algorithms and a computer algebra approach
• A Generalization of a Theorem of M. Auslander
• The multiplicity problem for indecomposable decompositions of modules over domestic canonical algebras
• On a separation of orbits in the module variety for domestic canonical algebras
• Representation theory of finite-dimensional algebras
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