Title of article
On the nil-clean matrix over a UFD
Author/Authors
Hadjirezaei, Somayeh Department of Mathematics - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran , Karimzadeh, Somayeh Department of Mathematics - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Pages
7
From page
49
To page
55
Abstract
In this paper we characterize all 2×2 idempotent and nilpotent matrices over an integral domain and then we characterize all 2×2 strongly nil-clean matrices over a PID. Also, we determine when a 2×2 matrix over a UFD is nil-clean.
Keywords
Strongly nil-clean matrix , Nil-clean matrix , Nilpotent matrix , Idempotent matrix , Rank of a matrix
Journal title
Astroparticle Physics
Serial Year
2015
Record number
2451860
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