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Endomorphisms of matrix semigroups over division rings

✍ Scribed by Peter Šemrl

Book ID: 107529032
Publisher: The Hebrew University Magnes Press
Year: 2008
Tongue: English
Weight: 160 KB
Volume: 163
Category: Article
ISSN: 0021-2172
DOI: 10.1007/s11856-008-0007-4

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Let F be a field of characteristic / =2, H F = a,b F the quaternion division ring over F . This paper discusses the similarity of polynomials over H F . By using polynomials over H F , this paper proves that every square matrix over H F is similar to a uniquely generalized Jordan canonical form, and