ArticleOriginal scientific text
Title
Unique prime factorization in a partial semigroup of matrix-polynomials
Authors 1, 1
Affiliations
- Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstr. 8-10/101, A-1040 Wien, Austria
Abstract
We establish a unique factorization result into irreducibel elements in the partial semigroup of 2 × 2-matrices with entries in K[x] whose determinant is equal to 1, where K is a field, and where multiplication is defined as the usual matrix-multiplication if the degrees of the factors add up. This investigation is motivated by a result on matrices of entire functions.
Keywords
partial semigroup, unique prime factorization
Bibliography
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Pages:
21-43
Main language of publication
English
Received
2004-03
Accepted
2005-11
Published
2006
DOI: 10.7151/dmgaa.1103
Exact and natural sciences