Tan Yi-jia
Abstract
In this paper, it is proved that the adjoint matrix of an idempotent matrix over a commutative ring is idempotent and the adjoint matrix of a nilpotent matrix over a domain is also nilpotent. The results generalize the correspondence results over complex field.
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In this paper, it is proved that the adjoint matrix of an idempotent matrix over a commutative ring is idempotent and the adjoint matrix of a nilpotent matrix over a domain is also nilpotent. The results generalize the correspondence results over complex field.
Key concepts: Mathematics, Nilpotent, Idempotent matrix, Nilpotent matrix, Matrix ring, Idempotence, Pure mathematics, Commutative property