Journal article
Continuous modules are clean
Journal of algebra, Vol.304(1), pp.94-111
2006
DOI: 10.1016/j.jalgebra.2006.06.032
Abstract
A ring R is said to be clean if every element of R is a sum of an idempotent and a unit. The class of clean rings is quite large and includes, for instance, semiperfect rings (and thus finite rings), and rings of linear transformations of vector spaces. We prove that the endomorphism ring of every continuous (or discrete) module is clean.
Details
- Title: Subtitle
- Continuous modules are clean
- Creators
- V P Camillo - Department of Mathematics, The University of Iowa, Iowa City, IA 52246, USAD Khurana - Department of Mathematics, Panjab University, Chandigarh 160014, IndiaT.Y Lam - Department of Mathematics, University of California, Berkeley, CA 94720, USAW.K Nicholson - Department of Mathematics, University of Calgary, Calgary, Canada T2N 1N4Y Zhou - Department of Mathematics, Memorial University of Newfoundland, St. John's, NL, Canada A1C 5S7
- Resource Type
- Journal article
- Publication Details
- Journal of algebra, Vol.304(1), pp.94-111
- DOI
- 10.1016/j.jalgebra.2006.06.032
- ISSN
- 0021-8693
- eISSN
- 1090-266X
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985816602771
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