When is a matrix a sum of involutions or tripotents?
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Publication:5856791
DOI10.1080/00927872.2020.1849249zbMath1464.15025OpenAlexW3111523914MaRDI QIDQ5856791
Guoli Xia, Gaohua Tang, Yiqiang Zhou
Publication date: 29 March 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1849249
Factorization of matrices (15A23) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)
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Cites Work
- On sums of idempotent matrices over a field of positive characteristic
- 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
- Diagonability of idempotent matrices
- Sums of idempotent matrices
- Rings in which Every Element is a Sum of Two Tripotents
- Sums of nilpotent matrices
- When is a matrix a sum of idempotents?
- Rings in which every element is the sum of two idempotents
- Rings in which elements are sums of nilpotents, idempotents and tripotents
- Matrices over a commutative ring as sums of three idempotents or three involutions
- Endomorphisms of free modules as sums of four quadratic endomorphisms
- Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical
- Sums of projections
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