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Countable linear transformations are clean
Authors:W. K. Nicholson   K. Varadarajan
Affiliation:Department of Mathematics, University of Calgary, Calgary, Canada T2N 1N4 ; Department of Mathematics, University of Calgary, Calgary, Canada T2N 1N4
Abstract:
It is shown that every linear transformation on a vector space of countable dimension is the sum of a unit and an idempotent.

Keywords:Clean rings   vector space endomorphism rings   unit regular rings.
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