On 2-Dimensional Invariant Subspaces of Matrices

We introduce a unified method for studying of 2-dimensional invariant subspaces of matrices and their corresponding super-eigenvalues. As a novel application to non-commutative algebra, we present a connection between the eigenvalues of matrices with entries in the ring Mat2(๐”ฝ) and 2-dimensional invariant subspaces of matrices with entries in the field ๐”ฝ.

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Publication Details

Journal
Galois Journal of Algebra
Published
2026-06-30
DOI
https://doi.org/10.65908/gja.2026.8344.1017
Primary Topic
Matrix Theory and Algorithms
Type
article
Field-Weighted Citation Impact
0.00
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article

On 2-Dimensional Invariant Subspaces of Matrices

Omar Talib Al Raisi, Mohammad T Shahryari
Galois Journal of Algebra
Matrix Theory and Algorithms
article

On 2-Dimensional Invariant Subspaces of Matrices

Omar Talib Al Raisi, Mohammad T Shahryari
article en

Abstract

We introduce a unified method for studying of 2-dimensional invariant subspaces of matrices and their corresponding super-eigenvalues. As a novel application to non-commutative algebra, we present a connection between the eigenvalues of matrices with entries in the ring Mat2(๐”ฝ) and 2-dimensional invariant subspaces of matrices with entries in the field ๐”ฝ.

Galois Journal of AlgebraVol. 2(2)
Sultan Qaboos University (OM)
Openalex Percentile: Top 7%
Matrix Theory and Algorithms
DOIOpen Access PDFOpenAlex
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On 2-Dimensional Invariant Subspaces of Matrices โ€” Omar Talib Al Raisi, Mohammad T Shahryari ยท Galois Journal of Algebra (2026) | TGRS Research Map | TGRS