Doubtsov, Evgueni; Kutzschebauch, Frank (2019). Factorization by elementary matrices, null-homotopy and products of exponentials for invertible matrices over rings. Analysis and mathematical physics, 9(3), pp. 1005-1018. Springer Nature 10.1007/s13324-019-00289-8
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Let R be a commutative unital ring. A well-known factorization problem is whether any matrix in SLₙ(R) is a product of elementary matrices with entries in R. To solve the problem, we use two approaches based on the notion of the Bass stable rank and on construction of a null-homotopy. Special attention is given to the case, where R is a ring or Banach algebra of holomorphic functions. Also, we consider a related problem on representation of a matrix in GLₙ(R) as a product of exponentials.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1664-2368 |
Publisher: |
Springer Nature |
Language: |
English |
Submitter: |
Michel Arthur Bik |
Date Deposited: |
17 Feb 2020 14:53 |
Last Modified: |
05 Dec 2022 15:36 |
Publisher DOI: |
10.1007/s13324-019-00289-8 |
ArXiv ID: |
1901.10714 |
BORIS DOI: |
10.7892/boris.139931 |
URI: |
https://boris.unibe.ch/id/eprint/139931 |
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