논문KCI 등재
Sums of tripotent and nilpotent matrices
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Let $R$ be a 2-primal strongly 2-nil-clean ring. We prove that every square matrix over $R$ is the sum of a tripotent and a nilpotent matrices. The similar result for rings of bounded index is proved. We thereby provide a large class of rings over which every matrix is the sum of a tripotent and a nilpotent matrices.
Abstract
Let $R$ be a 2-primal strongly 2-nil-clean ring. We prove that every square matrix over $R$ is the sum of a tripotent and a nilpotent matrices. The similar result for rings of bounded index is proved. We thereby provide a large class of rings over which every matrix is the sum of a tripotent and a nilpotent matrices.
참고문헌 (17)
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관련 논문AI추천
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