On the nil-clean matrix over a UFD

نویسندگان
Hadjirezaei, Somayeh ID 1
Karimzadeh, Somayeh ID 2

1 Vali-e-Asr University of Rafsanjan

2 Vali-e-Asr University of Rafsanjan

doi
چکیده

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

کلیدواژه‌ها
Rank of a matrix, Idempotent matrix, Nilpotent matrix, Nil-clean matrix, Strongly nil-clean matrix