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Clean endomorphism rings

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Abstract.

A ring is called clean if every element is the sum of an idempotent and a unit. It is shown that the endomorphism ring of a projective right module over a right perfect ring is clean.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of Calgary, Calgary, Canada, T2N 1N4

    W. K. Nicholson & K. Varadarajan

  2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St.John’s, Newfoundland, A1C 5S7, Canada

    Y. Zhou

Authors
  1. W. K. Nicholson
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  2. K. Varadarajan
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  3. Y. Zhou
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Corresponding author

Correspondence to W. K. Nicholson.

Additional information

Received: 6 January 2003

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Nicholson, W.K., Varadarajan, K. & Zhou, Y. Clean endomorphism rings. Arch. Math. 83, 340–343 (2004). https://doi.org/10.1007/s00013-003-4787-9

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  • DOI: https://doi.org/10.1007/s00013-003-4787-9

Mathematics Subject Classification (2000).

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