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DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS

Published online by Cambridge University Press:  22 March 2010

HUANYIN CHEN
HUANYIN CHEN*
Affiliation:
Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China e-mail: huanyinchen@yahoo.cn, http://huanyinchens.blogbus.com
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Abstract

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Let V be a countably generated right vector space over a division ring D. If D ≇ ℤ/2ℤ, ℤ/3ℤ, then for any γ ∈ EndD(V), there exists α ∈ AutD(V) such that γ+α, γ−α−1 ∈ AutD(V). This gives a generalization of [D. Zelinsky, Proc. Amer. Math. Soc. 5 (1954), 627–630, Theorem].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 3 , September 2010 , pp. 427 - 433
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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