A note on products of dilatations over division rings

Let [Formula: see text] be a division ring containing at least four elements. The main goal of this paper is to prove that for every matrix [Formula: see text], [Formula: see text] can be expressed as a product of at most [Formula: see text] dilatations.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-10-28
DOI
https://doi.org/10.1142/s0219498828501009
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

A note on products of dilatations over division rings

Bui Thi Hong Cam
2 links
Journal of Algebra and Its Applications
Rings, Modules, and Algebras
article

A note on products of dilatations over division rings

Bui Thi Hong Cam
article en

Abstract

Let [Formula: see text] be a division ring containing at least four elements. The main goal of this paper is to prove that for every matrix [Formula: see text], [Formula: see text] can be expressed as a product of at most [Formula: see text] dilatations.

Journal of Algebra and Its Applications
Twitter (United States) (US)
Openalex Percentile: Top 4%
Rings, Modules, and Algebras
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A note on products of dilatations over division rings — Bui Thi Hong Cam · Journal of Algebra and Its Applications (2026) | TGRS Research Map | TGRS