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Unique prime factorization in a partial semigroup of matrix-polynomials

Michael Kaltenbäck, Harald Woracek (2006)

Discussiones Mathematicae - General Algebra and Applications

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.

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