Uniquely strongly clean group rings
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    Abstract:

    A ring is called uniquely strongly clean if every element is uniquely the sum of an idempotent and a unit that commute.The structure of uniquely strongly clean group rings is studied in this paper.It is proved that if G is a locally finite group,then group ring RG is uniquely strongly clean if and only if R is uniquely strongly clean and G is a 2-group.

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ZAN Libo. Uniquely strongly clean group rings[J]. Journal of Nanjing University of Information Science & Technology,2016,8(5):479-480

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History
  • Received:April 21,2015
  • Online: October 26,2016
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