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A certain decomposition of infinite invertible matrices over division algebras

Published:2022-06-27 Issue: Volume: Page:1-9
ISSN:0308-1087
Container-title:Linear and Multilinear Algebra
language:en
Short-container-title:Linear and Multilinear Algebra

Author:

Hoang Bien Mai¹²^ORCID,Huu Dung Truong³^ORCID,Thi Thai Ha Nguyen¹²⁴^ORCID

Affiliation:

1. Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, Vietnam

2. Vietnam National University, Ho Chi Minh City, Vietnam

3. Dong Nai University, Dong Nai, Vietnam

4. Campus in Ho Chi Minh City, University of Transport and Communications, Ho Chi Minh City, Vietnam

Funder

Vietnam National University Ho Chi Minh City

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/03081087.2022.2091508

Reference27 articles.

1. The subnormal subgroup structure of the infinite general linear group

2. The normal subgroup structure of the infinite general linear group

3. Verbal subgroups in the group of triangular matrices over field of characteristic 0

4. Decomposition of infinite matrices into products of commutators of involutions

5. Row and column finite matrices

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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 traceless and semi-traceless matrices over division rings and their applications;International Journal of Algebra and Computation;2024-03-26

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