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Linear preservers of idempotence on triangular matrix spaces over any field

Linear preservers of idempotence on triangular matrix spaces over any field

Let F be any field and let T n (F) be the n × n upper triangular matrix space over F. We denote the set of all n × n upper triangular idempotent matrices over F by P n (F).A map ϕ on T n (F) is called a preserver …