On the nil-clean matrix over a UFD

Authors

  • Somayeh Karimzadeh Vali-e-Asr University of Rafsanjan
Abstract:

 In this paper we characterize all $2times 2$ idempotent and nilpotent matrices over an integral domain and then we characterize all $2times 2$ strongly nil-clean matrices over a PID. Also, we determine when a $2times 2$ matrix  over a UFD is nil-clean.

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Journal title

volume 2  issue 2

pages  49- 55

publication date 2015-11-01

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