Certain Properties of Square Matrices over Fields with Applications to Rings
DOI10.15446/recolma.v54n2.93833zbMath1476.16039OpenAlexW3163427720MaRDI QIDQ4994848
Publication date: 22 June 2021
Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.15446/recolma.v54n2.93833
Jordan canonical formnilpotent matricesidempotent matricesalgebraically closed fieldssuper \(\pi \)-regular rings
Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Commutative ring extensions and related topics (13B99)
Related Items (2)
Cites Work
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- Convolutional codes with a matrix-algebra word-ambient
- A circulant approach to skew-constacyclic codes
- On expressing matrices over \(\mathbb{Z}_2\) as the sum of an idempotent and a nilpotent
- Matrices over finite fields as sums of periodic and nilpotent elements
- On the core-nilpotent decomposition of trees
- A Jordan canonical form for nilpotent elements in an arbitrary ring
- Strongly \(q\)-nil-clean rings
- The ring \(\operatorname{M}_{8 k + 4}(\mathbb{Z}_2)\) is nil-clean of index four
- On some matrix analogs of the little Fermat theorem
- Nil-clean matrix rings
- Linear codes using skew polynomials with automorphisms and derivations
- A New Perspective of Cyclicity in Convolutional Codes
- On Uniform Diagonalisation of Matrices over Regular Rings and One-Accessible Regular Algebras
- When is a matrix a difference of two idempotents
- Ideal codes over separable ring extensions
- A generalization of -regular rings
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