Cover Image

On sums and products of diagonalizable matrices over division rings

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Son, Tran Nam
Format:	Preprint
Published:	2025
Subjects:	Rings and Algebras
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Images of polynomial maps and the Ax-Grothendieck theorem over algebraically closed division rings
by: Paran, Elad, et al.
Published: (2025)

Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
by: Danchev, Peter, et al.
Published: (2025)

Polynomials over division rings
by: Goutor, Alina G., et al.
Published: (2025)

On the structural behavior of images of polynomials
by: Lee, Tsiu-Kwen, et al.
Published: (2026)

Roots of polynomials over division rings
by: Goutor, Alina G., et al.
Published: (2024)

Nonderogatory matrices as sums of $p$-potent and nilpotent matrices
by: Pojar, Andrada
Published: (2025)

Companion matrices as sums of $p$-potent and nilpotent matrices
by: Pojar, Andrada
Published: (2025)

A nonlinear analogue of additive commutators
by: Dung, Truong Huu, et al.
Published: (2025)

A note on additive commutator groups in certain algebras
by: Ha, Nguyen Thi Thai, et al.
Published: (2025)

Eigenvalues of the product matrices of finite commutative rings
by: Dolžan, David
Published: (2026)

Embedding $K$-algebras into Leavitt algebra $L_K(1, 2)$
by: Bilich, Boris, et al.
Published: (2025)

On the injectivity of evaluation maps induced by polynomials on certain algebras
by: Kutzschebauch, Frank, et al.
Published: (2025)

Commutative rings behind divisible residuated lattices
by: Flaut, Cristina, et al.
Published: (2024)

Williams' conjecture holds for graphs of Gelfand-Kirillov dimension three
by: Do, Tran Quang, et al.
Published: (2025)

Deformed Laurent series rings and completions of the Weyl division ring
by: Han, Gang, et al.
Published: (2024)

Wedge product matrices and orbits of principal congruence subgroups
by: Chan, Yao Ming
Published: (2023)

On some notions of rank for matrices over tracts
by: Baker, Matthew, et al.
Published: (2022)

On structural connections between sandpile monoids and weighted Leavitt path algebras
by: Hazrat, Roozbeh, et al.
Published: (2024)

Inverting the sum of two singular matrices
by: Eriksson, Sofia, et al.
Published: (2024)

Orthogonal tripotent matrices
by: Mei, Tan, et al.
Published: (2025)

Genus of division algebras over fields with infinite transcendence degree
by: Tikhonov, Sergey V.
Published: (2024)

Graded polynomial identities of the infinite-dimensional upper triangular matrices over an arbitrary field
by: Garcia, Micael Said, et al.
Published: (2024)

On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
by: de Mello, Thiago Castilho, et al.
Published: (2024)

A note on division rings satisfying generalized rational identities with anti-automorphisms
by: Thu, Vo Hoang Minh, et al.
Published: (2025)

Surface topology and incidence theorems over division rings
by: Izosimov, Anton
Published: (2026)

Bilinear maps on the ring of strictly upper triangular matrices
by: Bounds, Jordan, et al.
Published: (2025)

X-matrices
by: Borgonovo, Emanuele, et al.
Published: (2024)

Balanced matrices
by: Agama, Theophilus, et al.
Published: (2018)

Locally solvable maximal subgroups in division rings
by: Khanh, Huynh Viet, et al.
Published: (2019)

Decompositions into a direct sum of projective and stable submodules
by: Gunay, Gulizar, et al.
Published: (2025)

Hopf-Galois objects over bicrossed product Hopf algebras and twisting maps
by: Bichon, Julien, et al.
Published: (2024)

Power commuting and centralizing maps on the ring of strictly upper triangular matrices
by: Bounds, Jordan
Published: (2023)

Maximal subfields in division algebras generated by images of polynomials
by: Danh, Le Qui, et al.
Published: (2025)

Quasi-projective dimensions of complexes over rings
by: Chen, Hongxing, et al.
Published: (2026)

Commutator products in skew Laurent series division rings
by: Jang, Hau-Yuan, et al.
Published: (2025)

$GL(n)$-dependence of matrices
by: Tsilevich, Natalia, et al.
Published: (2025)

Polynomials that preserve nonnegative matrices
by: Clark, Benjamin J., et al.
Published: (2021)

When the Tracy-Singh product of matrices represents a certain operation on linear operators
by: Chouraqui, Fabienne
Published: (2023)

A symmetric biderivation structure on polynomial algebras and a class of modules over the special Jordan algebra $H_n(K)$ of symmetric matrices
by: Yin, Yangjie, et al.
Published: (2025)

$m$-nil-clean nonderogatory matrices
by: Pojar, Andrada
Published: (2025)