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Countable linear transformations are clean

Author(s): W. K. Nicholson; K. Varadarajan
Journal: Proc. Amer. Math. Soc. 126 (1998), 61-64.
MSC (1991): Primary 16S50; Secondary 16E50, 16U99
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Abstract: It is shown that every linear transformation on a vector space of countable dimension is the sum of a unit and an idempotent.

References:

1.: V. P. Camillo and H.-P. Yu, Exchange rings, units and idempotents, Comm. Alg. 22 (1994), 4737-4749. MR 95d:16013
2.: W. K. Nicholson, Lifting idempotents and exchange rings, Trans. A.M.S. 229 (1977), 269-278. MR 55:12757


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