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Decompositions of matrices over division algebras into products of commutators

  • Published:2022-08 Issue: Volume:646 Page:119-131
  • ISSN:0024-3795
  • Container-title:Linear Algebra and its Applications
  • language:en
  • Short-container-title:Linear Algebra and its Applications

Author:

Bien Mai Hoang,Dung Truong HuuORCID,Ha Nguyen Thi Thai,Son Tran NamORCID

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference21 articles.

1. An Introduction to Central Simple Algebras and Their Applications to Wireless Communication;Berhuy,2013

2. A certain decomposition of infinite invertible matrices over division algebras;Bien;Linear Multilinear Algebra,2022

3. Skew Field Constructions;Cohn,1977

4. Skew Fields;Draxl,1983

5. Eine Liftung Der Dieudonné - Determinante und Anwendungen Die Multiplikative Gruppe Eines Schiefkörpers Betreffend;Draxl,1980

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Products of infinite upper triangular quadratic matrices;Linear Algebra and its Applications;2024-10

2. Products of commutators of unipotent matrices of index $2$ in $\mathrm{GL}_n(\mathbb H)$;International Electronic Journal of Algebra;2024-07-12

3. Products of Commutators of Involutions in Skew Linear Groups;Acta Mathematica Vietnamica;2024-05-09

4. Products of unipotent matrices of index 2 over division rings;Acta Mathematica Hungarica;2024-05-06

5. Products of commutators in certain rings;Journal of Algebra and Its Applications;2024-02-16
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