Doubtsov, Evgueni; Kutzschebauch, Frank (2019). Factorization by elementary matrices, nullhomotopy and products of exponentials for invertible matrices over rings. Analysis and mathematical physics, 9(3), pp. 10051018. Springer Nature 10.1007/s13324019002898
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Let R be a commutative unital ring. A wellknown 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 nullhomotopy. 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, Frank 
Subjects: 
500 Science > 510 Mathematics 
ISSN: 
16642368 
Publisher: 
Springer Nature 
Language: 
English 
Submitter: 
Michel Arthur Bik 
Date Deposited: 
17 Feb 2020 14:53 
Last Modified: 
10 Mar 2021 06:48 
Publisher DOI: 
10.1007/s13324019002898 
ArXiv ID: 
1901.10714 
BORIS DOI: 
10.7892/boris.139931 
URI: 
https://boris.unibe.ch/id/eprint/139931 