On Some Decompositions of Matrices over Algebraically Closed and Finite Fields
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Publication:5071383
DOI10.17516/1997-1397-2021-14-5-547-553zbMath1495.15020OpenAlexW4205519439MaRDI QIDQ5071383
Publication date: 21 April 2022
Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/jsfu939
Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Diagonalization, Jordan forms (15A20)
Related Items (2)
Decompositions of matrices into potent and square-zero matrices ⋮ Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence
Cites Work
- Unnamed Item
- Sums of two triangularizable quadratic matrices over an arbitrary field
- 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
- Nonderogatory matrices as sums of idempotent and nilpotent matrices
- A Jordan canonical form for nilpotent elements in an arbitrary ring
- 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
- Matrices over a commutative ring as sums of three idempotents or three involutions
- Certain Properties of Square Matrices over Fields with Applications to Rings
- Decompositions of matrices into potent and square-zero matrices
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