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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
MathSciNet review:
1452816
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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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Additional Information:
W.
K.
Nicholson
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Canada T2N 1N4
Email:
wknichol@acs.ucalgary.ca
K.
Varadarajan
Affiliation:
Department of Mathematics, University of Calgary, Calgary, Canada T2N 1N4
Email:
varadara@math.ucalgary.ca
DOI:
10.1090/S0002-9939-98-04397-4
PII:
S 0002-9939(98)04397-4
Keywords:
Clean rings,
vector space endomorphism rings,
unit regular rings.
Received by editor(s):
July 16, 1996
Additional Notes:
This work was supported by NSERC grants A8075 and A8225
Communicated by:
Ken Goodearl
Copyright of article:
Copyright
1998,
American Mathematical Society
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