Geodesic
DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 427-433

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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]. 
CHEN, HUANYIN. DECOMPOSITIONS OF COUNTABLE LINEAR TRANSFORMATIONS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 427-433. doi: 10.1017/S0017089510000121
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     author = {CHEN, HUANYIN},
     title = {DECOMPOSITIONS {OF} {COUNTABLE} {LINEAR} {TRANSFORMATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {427--433},
     year = {2010},
     volume = {52},
     number = {3},
     doi = {10.1017/S0017089510000121},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000121/}
}
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