Countable linear transformations are clean
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- by W. K. Nicholson and K. Varadarajan PDF
- Proc. Amer. Math. Soc. 126 (1998), 61-64 Request permission
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
- Victor P. Camillo and Hua-Ping Yu, Exchange rings, units and idempotents, Comm. Algebra 22 (1994), no. 12, 4737–4749. MR 1285703, DOI 10.1080/00927879408825098
- W. K. Nicholson, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc. 229 (1977), 269–278. MR 439876, DOI 10.1090/S0002-9947-1977-0439876-2
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
- Received by editor(s): July 16, 1996
- Additional Notes: This work was supported by NSERC grants A8075 and A8225
- Communicated by: Ken Goodearl
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 61-64
- MSC (1991): Primary 16S50; Secondary 16E50, 16U99
- DOI: https://doi.org/10.1090/S0002-9939-98-04397-4
- MathSciNet review: 1452816